%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT050_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:48:02 AM UTC 2026
% Result : Theorem 1.59s 0.52s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT050_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:13:05 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.59/0.52 % (871732)Will run a generic schedule for satisfiability detection.
% 1.59/0.52 % (871742)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=55756216:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.52 % (871738)% WARNING: option uhcvi not known.
% 1.59/0.52 % (871737)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2744848280_2999 on theBenchmark for (2999ds/0Mi)
% 1.59/0.52 % (871738)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4067334140:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.59/0.52 % (871739)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2676829831:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.59/0.52 % (871740)dis+10_1_sil=32000:sp=arity:random_seed=3271495011:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.59/0.52 % (871741)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3849305917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.59/0.52 % (871743)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=214239703:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.59/0.52 % (871737)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.59/0.52 % (871737)Terminated due to inappropriate strategy.
% 1.59/0.52 % (871737)------------------------------
% 1.59/0.52 % (871737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871737)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871737)Termination reason: Inappropriate
% 1.59/0.52 % (871737)Time elapsed: 0.001 s
% 1.59/0.52 % (871737)Peak memory usage: 10 MB
% 1.59/0.52 % (871737)Instructions burned: 1 (million)
% 1.59/0.52 % (871737)------------------------------
% 1.59/0.52 % (871737)------------------------------
% 1.59/0.52 % (871751)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2209223179:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.59/0.52 % (871751)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.59/0.52 % (871751)Terminated due to inappropriate strategy.
% 1.59/0.52 % (871751)------------------------------
% 1.59/0.52 % (871751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871751)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871751)Termination reason: Inappropriate
% 1.59/0.52 % (871751)Time elapsed: 0.001 s
% 1.59/0.52 % (871751)Peak memory usage: 10 MB
% 1.59/0.52 % (871751)Instructions burned: 1 (million)
% 1.59/0.52 % (871751)------------------------------
% 1.59/0.52 % (871751)------------------------------
% 1.59/0.52 % (871742)Instruction limit reached!
% 1.59/0.52 % (871742)------------------------------
% 1.59/0.52 % (871742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871742)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871742)Termination reason: Instruction limit
% 1.59/0.52 % (871742)Termination phase: Saturation
% 1.59/0.52 % (871742)Time elapsed: 0.046 s
% 1.59/0.52 % (871742)Peak memory usage: 13 MB
% 1.59/0.52 % (871742)Instructions burned: 133 (million)
% 1.59/0.52 % (871753)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3916987245:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.59/0.52 % (871754)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=925918952:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.59/0.52 % (871740)Instruction limit reached!
% 1.59/0.52 % (871740)------------------------------
% 1.59/0.52 % (871740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871740)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871740)Termination reason: Instruction limit
% 1.59/0.52 % (871740)Termination phase: Saturation
% 1.59/0.52 % (871740)Time elapsed: 0.065 s
% 1.59/0.52 % (871740)Peak memory usage: 12 MB
% 1.59/0.52 % (871740)Instructions burned: 104 (million)
% 1.59/0.52 % (871741)Instruction limit reached!
% 1.59/0.52 % (871741)------------------------------
% 1.59/0.52 % (871741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871741)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871741)Termination reason: Instruction limit
% 1.59/0.52 % (871741)Termination phase: Saturation
% 1.59/0.52 % (871741)Time elapsed: 0.071 s
% 1.59/0.52 % (871741)Peak memory usage: 12 MB
% 1.59/0.52 % (871741)Instructions burned: 117 (million)
% 1.59/0.52 % (871757)ott-21_1_sil=16000:fs=off:random_seed=2447804729:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.59/0.52 % (871758)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4246331331:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.59/0.52 % (871743)Instruction limit reached!
% 1.59/0.52 % (871743)------------------------------
% 1.59/0.52 % (871743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871743)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871743)Termination reason: Instruction limit
% 1.59/0.52 % (871743)Termination phase: Saturation
% 1.59/0.52 % (871743)Time elapsed: 0.100 s
% 1.59/0.52 % (871743)Peak memory usage: 13 MB
% 1.59/0.52 % (871743)Instructions burned: 159 (million)
% 1.59/0.52 % (871761)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1509619971:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.59/0.52 % (871761)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.59/0.52 % (871761)Terminated due to inappropriate strategy.
% 1.59/0.52 % (871761)------------------------------
% 1.59/0.52 % (871761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871761)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871761)Termination reason: Inappropriate
% 1.59/0.52 % (871761)Time elapsed: 0.0000 s
% 1.59/0.52 % (871761)Peak memory usage: 10 MB
% 1.59/0.52 % (871761)------------------------------
% 1.59/0.52 % (871761)------------------------------
% 1.59/0.52 % (871753)Instruction limit reached!
% 1.59/0.52 % (871753)------------------------------
% 1.59/0.52 % (871753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871753)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871753)Termination reason: Instruction limit
% 1.59/0.52 % (871753)Termination phase: Saturation
% 1.59/0.52 % (871753)Time elapsed: 0.086 s
% 1.59/0.52 % (871753)Peak memory usage: 13 MB
% 1.59/0.52 % (871753)Instructions burned: 133 (million)
% 1.59/0.52 % (871763)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2151630895:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.59/0.52 % (871764)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1617576:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.59/0.52 % (871764)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.59/0.52 % (871764)Terminated due to inappropriate strategy.
% 1.59/0.52 % (871764)------------------------------
% 1.59/0.52 % (871764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871764)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871764)Termination reason: Inappropriate
% 1.59/0.52 % (871764)Time elapsed: 0.001 s
% 1.59/0.52 % (871764)Peak memory usage: 10 MB
% 1.59/0.52 % (871764)Instructions burned: 1 (million)
% 1.59/0.52 % (871764)------------------------------
% 1.59/0.52 % (871764)------------------------------
% 1.59/0.52 % (871757)Instruction limit reached!
% 1.59/0.52 % (871757)------------------------------
% 1.59/0.52 % (871757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871757)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871757)Termination reason: Instruction limit
% 1.59/0.52 % (871757)Termination phase: Saturation
% 1.59/0.52 % (871757)Time elapsed: 0.079 s
% 1.59/0.52 % (871757)Peak memory usage: 12 MB
% 1.59/0.52 % (871757)Instructions burned: 182 (million)
% 1.59/0.52 % (871767)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3374065681:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.59/0.52 % (871768)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3442989926:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.59/0.52 % (871754)Instruction limit reached!
% 1.59/0.52 % (871754)------------------------------
% 1.59/0.52 % (871754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.52 % (871754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.52 % (871754)CaDiCaL version: 2.1.3
% 1.59/0.52 % (871754)Termination reason: Instruction limit
% 1.59/0.52 % (871754)Termination phase: Saturation
% 1.59/0.52 % (871754)Time elapsed: 0.192 s
% 1.59/0.52 % (871754)Peak memory usage: 16 MB
% 1.59/0.52 % (871754)Instructions burned: 686 (million)
% 1.59/0.52 % (871763) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-871732-871763"...
% 1.59/0.52 % (871763)...printing done.
% 1.59/0.52 % (871763)Refutation found. Thanks to Tanya!
% 1.59/0.52 % SZS status Theorem for theBenchmark
% 1.59/0.52 % SZS output start Proof for theBenchmark
% 1.59/0.52 tff(type_def_5, type, collection: $tType).
% 1.59/0.52 tff(func_def_0, type, empty: collection).
% 1.59/0.52 tff(func_def_1, type, add: ($int * collection) > collection).
% 1.59/0.52 tff(func_def_2, type, remove: ($int * collection) > collection).
% 1.59/0.52 tff(func_def_3, type, count: collection > $int).
% 1.59/0.52 tff(func_def_9, type, sK0: collection).
% 1.59/0.52 tff(func_def_10, type, sK1: $int).
% 1.59/0.52 tff(func_def_11, type, sF2: collection).
% 1.59/0.52 tff(func_def_12, type, sF3: collection).
% 1.59/0.52 tff(func_def_13, type, sF4: collection).
% 1.59/0.52 tff(func_def_14, type, sF5: $int).
% 1.59/0.52 tff(func_def_15, type, sF6: collection).
% 1.59/0.52 tff(func_def_16, type, sF7: collection).
% 1.59/0.52 tff(func_def_17, type, sF8: $int).
% 1.59/0.52 tff(pred_def_1, type, in: ($int * collection) > $o).
% 1.59/0.52 tff(f4,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax4)).
% 1.59/0.52 tff(f5,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) & X0 != X2) <=> in(X0,remove(X2,X1)))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax5)).
% 1.59/0.52 tff(f8,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax3)).
% 1.59/0.52 tff(f9,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(add(X0,X1)) = count(X1))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax4)).
% 1.59/0.52 tff(f10,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $difference(count(X1),1))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax5)).
% 1.59/0.52 tff(f11,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(remove(X0,X1)) = count(X1))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax6)).
% 1.59/0.52 tff(f12,axiom,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (in(X0,X1) => X1 = add(X0,remove(X0,X1)))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax7)).
% 1.59/0.52 tff(f13,conjecture,(
% 1.59/0.52 ! [X0 : collection,X1 : $int] : count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0)))),
% 1.59/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 1.59/0.52 tff(f14,negated_conjecture,(
% 1.59/0.52 ~ ! [X0 : collection,X1 : $int] : count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0)))),
% 1.59/0.52 inference(negated_conjecture,[status(cth)],[f13])).
% 1.59/0.52 tff(f16,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))),
% 1.59/0.52 inference(theory_normalization,[],[f10])).
% 1.59/0.52 tff(f17,definition,(
% 1.59/0.52 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.59/0.52 introduced(theory,[tha_commutativity])).
% 1.59/0.52 tff(f18,definition,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 1.59/0.52 introduced(theory,[tha_associativity])).
% 1.59/0.52 tff(f21,definition,(
% 1.59/0.52 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 1.59/0.52 introduced(theory,[tha_inverse_op_unit])).
% 1.59/0.52 tff(f27,definition,(
% 1.59/0.52 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 1.59/0.52 introduced(theory,[tha_minus_minus_x])).
% 1.59/0.52 tff(f29,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : (X1 = add(X0,remove(X0,X1)) | ~in(X0,X1))),
% 1.59/0.52 inference(ennf_transformation,[],[f12])).
% 1.59/0.52 tff(f30,plain,(
% 1.59/0.52 ? [X0 : collection,X1 : $int] : count(add(0,remove(X1,add(X1,X0)))) != count(add(0,remove(X1,X0)))),
% 1.59/0.52 inference(ennf_transformation,[],[f14])).
% 1.59/0.52 tff(f31,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) | X0 = X2) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 1.59/0.52 inference(nnf_transformation,[],[f4])).
% 1.59/0.52 tff(f32,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2 | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 1.59/0.52 inference(flattening,[],[f31])).
% 1.59/0.52 tff(f33,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) & X0 != X2) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (~in(X0,X1) | X0 = X2)))),
% 1.59/0.52 inference(nnf_transformation,[],[f5])).
% 1.59/0.52 tff(f34,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) & X0 != X2) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | ~in(X0,X1) | X0 = X2))),
% 1.59/0.52 inference(flattening,[],[f33])).
% 1.59/0.52 tff(f36,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) & (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)))),
% 1.59/0.52 inference(nnf_transformation,[],[f8])).
% 1.59/0.52 tff(f37,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(add(X0,X1)) != count(X1)) & (count(add(X0,X1)) = count(X1) | ~in(X0,X1)))),
% 1.59/0.52 inference(nnf_transformation,[],[f9])).
% 1.59/0.52 tff(f38,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))),
% 1.59/0.52 inference(nnf_transformation,[],[f16])).
% 1.59/0.52 tff(f39,plain,(
% 1.59/0.52 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(remove(X0,X1)) = count(X1) | in(X0,X1)))),
% 1.59/0.52 inference(nnf_transformation,[],[f11])).
% 1.59/0.52 tff(f40,plain,(
% 1.59/0.52 count(add(0,remove(sK1,add(sK1,sK0)))) != count(add(0,remove(sK1,sK0)))),
% 1.59/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f30])).
% 1.59/0.52 tff(f44,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | X0 != X2) )),
% 1.59/0.52 inference(cnf_transformation,[],[f32])).
% 1.59/0.52 tff(f45,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | ~in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f32])).
% 1.59/0.52 tff(f46,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (~in(X0,add(X2,X1)) | X0 = X2 | in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f32])).
% 1.59/0.52 tff(f47,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,remove(X2,X1)) | ~in(X0,X1) | X0 = X2) )),
% 1.59/0.52 inference(cnf_transformation,[],[f34])).
% 1.59/0.52 tff(f48,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 != X2 | ~in(X0,remove(X2,X1))) )),
% 1.59/0.52 inference(cnf_transformation,[],[f34])).
% 1.59/0.52 tff(f49,plain,(
% 1.59/0.52 ( ! [X2 : $int,X0 : $int,X1 : collection] : (~in(X0,remove(X2,X1)) | in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f34])).
% 1.59/0.52 tff(f53,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (in(X0,X1) | count(add(X0,X1)) = $sum(count(X1),1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f36])).
% 1.59/0.52 tff(f54,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) != $sum(count(X1),1) | ~in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f36])).
% 1.59/0.52 tff(f55,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(add(X0,X1)) = count(X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f37])).
% 1.59/0.52 tff(f56,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) != count(X1) | in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f37])).
% 1.59/0.52 tff(f57,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )),
% 1.59/0.52 inference(cnf_transformation,[],[f38])).
% 1.59/0.52 tff(f59,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (in(X0,X1) | count(X1) = count(remove(X0,X1))) )),
% 1.59/0.52 inference(cnf_transformation,[],[f39])).
% 1.59/0.52 tff(f61,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | add(X0,remove(X0,X1)) = X1) )),
% 1.59/0.52 inference(cnf_transformation,[],[f29])).
% 1.59/0.52 tff(f62,plain,(
% 1.59/0.52 count(add(0,remove(sK1,add(sK1,sK0)))) != count(add(0,remove(sK1,sK0)))),
% 1.59/0.52 inference(cnf_transformation,[],[f40])).
% 1.59/0.52 tff(f63,plain,(
% 1.59/0.52 ( ! [X2 : $int,X1 : collection] : (in(X2,add(X2,X1))) )),
% 1.59/0.52 inference(equality_resolution,[],[f44])).
% 1.59/0.52 tff(f64,plain,(
% 1.59/0.52 ( ! [X2 : $int,X1 : collection] : (~in(X2,remove(X2,X1))) )),
% 1.59/0.52 inference(equality_resolution,[],[f48])).
% 1.59/0.52 tff(f66,definition,(
% 1.59/0.52 sF2 = add(sK1,sK0)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 1.59/0.52 tff(f67,plain,(
% 1.59/0.52 add(sK1,sK0) = sF2),
% 1.59/0.52 inference(reorient_equations,[],[f66])).
% 1.59/0.52 tff(f68,definition,(
% 1.59/0.52 sF3 = remove(sK1,sF2)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 1.59/0.52 tff(f69,plain,(
% 1.59/0.52 remove(sK1,sF2) = sF3),
% 1.59/0.52 inference(reorient_equations,[],[f68])).
% 1.59/0.52 tff(f70,definition,(
% 1.59/0.52 sF4 = add(0,sF3)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 1.59/0.52 tff(f71,plain,(
% 1.59/0.52 add(0,sF3) = sF4),
% 1.59/0.52 inference(reorient_equations,[],[f70])).
% 1.59/0.52 tff(f72,definition,(
% 1.59/0.52 sF5 = count(sF4)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 1.59/0.52 tff(f73,plain,(
% 1.59/0.52 count(sF4) = sF5),
% 1.59/0.52 inference(reorient_equations,[],[f72])).
% 1.59/0.52 tff(f74,definition,(
% 1.59/0.52 sF6 = remove(sK1,sK0)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 1.59/0.52 tff(f75,plain,(
% 1.59/0.52 remove(sK1,sK0) = sF6),
% 1.59/0.52 inference(reorient_equations,[],[f74])).
% 1.59/0.52 tff(f76,definition,(
% 1.59/0.52 sF7 = add(0,sF6)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 1.59/0.52 tff(f77,plain,(
% 1.59/0.52 add(0,sF6) = sF7),
% 1.59/0.52 inference(reorient_equations,[],[f76])).
% 1.59/0.52 tff(f78,definition,(
% 1.59/0.52 sF8 = count(sF7)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 1.59/0.52 tff(f79,plain,(
% 1.59/0.52 count(sF7) = sF8),
% 1.59/0.52 inference(reorient_equations,[],[f78])).
% 1.59/0.52 tff(f80,plain,(
% 1.59/0.52 sF5 != sF8),
% 1.59/0.52 inference(definition_folding,[],[f62,f79,f77,f75,f73,f71,f69,f67])).
% 1.59/0.52 tff(f81,plain,(
% 1.59/0.52 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(remove(X0,X1)) = $sum(count(X1),-1)) )),
% 1.59/0.52 inference(evaluation,[],[f57])).
% 1.59/0.52 tff(f86,plain,(
% 1.59/0.52 in(sK1,sF2)),
% 1.59/0.52 inference(superposition,[],[f63,f67])).
% 1.59/0.52 tff(f87,plain,(
% 1.59/0.52 ~in(sK1,sF3)),
% 1.59/0.52 inference(superposition,[],[f64,f69])).
% 1.59/0.52 tff(f88,plain,(
% 1.59/0.52 in(0,sF4)),
% 1.59/0.52 inference(superposition,[],[f63,f71])).
% 1.59/0.52 tff(f89,plain,(
% 1.59/0.52 ~in(sK1,sF6)),
% 1.59/0.52 inference(superposition,[],[f64,f75])).
% 1.59/0.52 tff(f133,plain,(
% 1.59/0.52 ( ! [X0 : $int] : (~in(X0,sK0) | in(X0,sF2)) )),
% 1.59/0.52 inference(superposition,[],[f45,f67])).
% 1.59/0.52 tff(f136,plain,(
% 1.59/0.52 ( ! [X0 : $int] : (~in(X0,sF3) | in(X0,sF2)) )),
% 1.59/0.52 inference(superposition,[],[f49,f69])).
% 1.59/0.52 tff(f137,plain,(
% 1.59/0.52 ( ! [X0 : $int] : (~in(X0,sF6) | in(X0,sK0)) )),
% 1.59/0.52 inference(superposition,[],[f49,f75])).
% 1.59/0.52 tff(f199,plain,(
% 1.59/0.52 count(sF2) != count(sK0) | in(sK1,sK0)),
% 1.59/0.52 inference(superposition,[],[f56,f67])).
% 1.59/0.52 tff(f205,definition,(
% 1.59/0.52 spl9_5 <=> in(sK1,sK0)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition])).
% 1.59/0.52 tff(f206,plain,(
% 1.59/0.52 ~in(sK1,sK0) | spl9_5),
% 1.59/0.52 inference(avatar_component_clause,[],[f205])).
% 1.59/0.52 tff(f207,plain,(
% 1.59/0.52 in(sK1,sK0) | ~spl9_5),
% 1.59/0.52 inference(avatar_component_clause,[],[f205])).
% 1.59/0.52 tff(f209,definition,(
% 1.59/0.52 spl9_6 <=> count(sF2) = count(sK0)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition])).
% 1.59/0.52 tff(f210,plain,(
% 1.59/0.52 count(sF2) = count(sK0) | ~spl9_6),
% 1.59/0.52 inference(avatar_component_clause,[],[f209])).
% 1.59/0.52 tff(f211,plain,(
% 1.59/0.52 count(sF2) != count(sK0) | spl9_6),
% 1.59/0.52 inference(avatar_component_clause,[],[f209])).
% 1.59/0.52 tff(f212,plain,(
% 1.59/0.52 spl9_5 | ~spl9_6),
% 1.59/0.52 inference(avatar_split_clause,[],[f199,f209,f205])).
% 1.59/0.52 tff(f214,definition,(
% 1.59/0.52 spl9_7 <=> in(0,sF6)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition])).
% 1.59/0.52 tff(f215,plain,(
% 1.59/0.52 ~in(0,sF6) | spl9_7),
% 1.59/0.52 inference(avatar_component_clause,[],[f214])).
% 1.59/0.52 tff(f216,plain,(
% 1.59/0.52 in(0,sF6) | ~spl9_7),
% 1.59/0.52 inference(avatar_component_clause,[],[f214])).
% 1.59/0.52 tff(f218,definition,(
% 1.59/0.52 spl9_8 <=> sF8 = count(sF6)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition])).
% 1.59/0.52 tff(f219,plain,(
% 1.59/0.52 sF8 = count(sF6) | ~spl9_8),
% 1.59/0.52 inference(avatar_component_clause,[],[f218])).
% 1.59/0.52 tff(f220,plain,(
% 1.59/0.52 sF8 != count(sF6) | spl9_8),
% 1.59/0.52 inference(avatar_component_clause,[],[f218])).
% 1.59/0.52 tff(f223,definition,(
% 1.59/0.52 spl9_9 <=> in(0,sF3)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition])).
% 1.59/0.52 tff(f224,plain,(
% 1.59/0.52 ~in(0,sF3) | spl9_9),
% 1.59/0.52 inference(avatar_component_clause,[],[f223])).
% 1.59/0.52 tff(f225,plain,(
% 1.59/0.52 in(0,sF3) | ~spl9_9),
% 1.59/0.52 inference(avatar_component_clause,[],[f223])).
% 1.59/0.52 tff(f242,definition,(
% 1.59/0.52 spl9_11 <=> count(sK0) = count(sF6)),
% 1.59/0.52 introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition])).
% 1.59/0.52 tff(f243,plain,(
% 1.59/0.52 count(sK0) = count(sF6) | ~spl9_11),
% 1.59/0.52 inference(avatar_component_clause,[],[f242])).
% 1.59/0.52 tff(f247,plain,(
% 1.59/0.52 count(sK0) = count(remove(sK1,sK0)) | spl9_5),
% 1.59/0.52 inference(resolution,[],[f206,f59])).
% 1.59/0.52 tff(f248,plain,(
% 1.59/0.52 count(sK0) = count(sF6) | spl9_5),
% 1.59/0.52 inference(forward_demodulation,[],[f247,f75])).
% 1.59/0.52 tff(f249,plain,(
% 1.59/0.52 spl9_11 | spl9_5),
% 1.59/0.52 inference(avatar_split_clause,[],[f248,f205,f242])).
% 1.59/0.52 tff(f253,plain,(
% 1.59/0.52 sF2 = add(sK1,remove(sK1,sF2))),
% 1.59/0.52 inference(resolution,[],[f61,f86])).
% 1.59/0.52 tff(f254,plain,(
% 1.59/0.52 sF4 = add(0,remove(0,sF4))),
% 1.59/0.52 inference(resolution,[],[f61,f88])).
% 1.59/0.52 tff(f256,plain,(
% 1.59/0.52 sF2 = add(sK1,sF3)),
% 1.59/0.52 inference(forward_demodulation,[],[f253,f69])).
% 1.59/0.52 tff(f259,plain,(
% 1.59/0.52 count(add(sK1,sK0)) = count(sK0) | ~spl9_5),
% 1.59/0.52 inference(resolution,[],[f207,f55])).
% 1.59/0.52 tff(f260,plain,(
% 1.59/0.53 count(sF2) = count(sK0) | ~spl9_5),
% 1.59/0.53 inference(forward_demodulation,[],[f259,f67])).
% 1.59/0.53 tff(f262,plain,(
% 1.59/0.53 $false | (~spl9_5 | spl9_6)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f260,f211])).
% 1.59/0.53 tff(f263,plain,(
% 1.59/0.53 ~spl9_5 | spl9_6),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f262])).
% 1.59/0.53 tff(f265,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 1.59/0.53 inference(superposition,[],[f18,f21])).
% 1.59/0.53 tff(f267,plain,(
% 1.59/0.53 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X1,$sum(X0,X2))) )),
% 1.59/0.53 inference(superposition,[],[f18,f17])).
% 1.59/0.53 tff(f277,plain,(
% 1.59/0.53 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )),
% 1.59/0.53 inference(superposition,[],[f17,f18])).
% 1.59/0.53 tff(f283,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 1.59/0.53 inference(evaluation,[],[f265])).
% 1.59/0.53 tff(f296,plain,(
% 1.59/0.53 ( ! [X0 : $int] : (~in(X0,sF2) | sK1 = X0 | in(X0,sK0)) )),
% 1.59/0.53 inference(superposition,[],[f46,f67])).
% 1.59/0.53 tff(f303,plain,(
% 1.59/0.53 ( ! [X0 : $int] : (~in(X0,sF2) | in(X0,sF3) | sK1 = X0) )),
% 1.59/0.53 inference(superposition,[],[f47,f69])).
% 1.59/0.53 tff(f304,plain,(
% 1.59/0.53 ( ! [X0 : $int] : (~in(X0,sK0) | in(X0,sF6) | sK1 = X0) )),
% 1.59/0.53 inference(superposition,[],[f47,f75])).
% 1.59/0.53 tff(f319,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = $sum(count(X1),1) | count(add(X0,X1)) = count(X1)) )),
% 1.59/0.53 inference(resolution,[],[f53,f55])).
% 1.59/0.53 tff(f322,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : collection] : (count(add(X0,remove(X0,X1))) = $sum(count(remove(X0,X1)),1)) )),
% 1.59/0.53 inference(resolution,[],[f53,f64])).
% 1.59/0.53 tff(f325,plain,(
% 1.59/0.53 count(add(sK1,sF3)) = $sum(count(sF3),1)),
% 1.59/0.53 inference(resolution,[],[f53,f87])).
% 1.59/0.53 tff(f327,plain,(
% 1.59/0.53 count(add(sK1,sK0)) = $sum(count(sK0),1) | spl9_5),
% 1.59/0.53 inference(resolution,[],[f53,f206])).
% 1.59/0.53 tff(f328,plain,(
% 1.59/0.53 count(add(sK1,sK0)) = $sum(1,count(sK0)) | spl9_5),
% 1.59/0.53 inference(forward_demodulation,[],[f327,f17])).
% 1.59/0.53 tff(f330,plain,(
% 1.59/0.53 count(add(sK1,sF3)) = $sum(1,count(sF3))),
% 1.59/0.53 inference(forward_demodulation,[],[f325,f17])).
% 1.59/0.53 tff(f333,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : collection] : (count(add(X0,remove(X0,X1))) = $sum(1,count(remove(X0,X1)))) )),
% 1.59/0.53 inference(forward_demodulation,[],[f322,f17])).
% 1.59/0.53 tff(f336,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = $sum(1,count(X1)) | count(add(X0,X1)) = count(X1)) )),
% 1.59/0.53 inference(forward_demodulation,[],[f319,f17])).
% 1.59/0.53 tff(f338,plain,(
% 1.59/0.53 count(add(sK1,sK0)) = $sum(1,count(sF6)) | (spl9_5 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f328,f243])).
% 1.59/0.53 tff(f339,plain,(
% 1.59/0.53 count(sF2) = $sum(1,count(sF3))),
% 1.59/0.53 inference(forward_demodulation,[],[f330,f256])).
% 1.59/0.53 tff(f343,plain,(
% 1.59/0.53 count(sF2) = $sum(1,count(sF6)) | (spl9_5 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f338,f67])).
% 1.59/0.53 tff(f345,plain,(
% 1.59/0.53 count(sF4) != $sum(count(sF3),1) | ~in(0,sF3)),
% 1.59/0.53 inference(superposition,[],[f54,f71])).
% 1.59/0.53 tff(f346,plain,(
% 1.59/0.53 count(sF7) != $sum(count(sF6),1) | ~in(0,sF6)),
% 1.59/0.53 inference(superposition,[],[f54,f77])).
% 1.59/0.53 tff(f347,plain,(
% 1.59/0.53 count(sF7) != $sum(1,count(sF6)) | ~in(0,sF6)),
% 1.59/0.53 inference(forward_demodulation,[],[f346,f17])).
% 1.59/0.53 tff(f348,plain,(
% 1.59/0.53 count(sF4) != $sum(1,count(sF3)) | ~in(0,sF3)),
% 1.59/0.53 inference(forward_demodulation,[],[f345,f17])).
% 1.59/0.53 tff(f350,plain,(
% 1.59/0.53 count(sF4) != count(sF2) | ~in(0,sF3)),
% 1.59/0.53 inference(forward_demodulation,[],[f348,f339])).
% 1.59/0.53 tff(f352,plain,(
% 1.59/0.53 sF5 != count(sF2) | ~in(0,sF3)),
% 1.59/0.53 inference(forward_demodulation,[],[f350,f73])).
% 1.59/0.53 tff(f354,definition,(
% 1.59/0.53 spl9_14 <=> sF8 = count(sF2)),
% 1.59/0.53 introduced(definition,[new_symbols(definition,[spl9_14])],[avatar_definition])).
% 1.59/0.53 tff(f355,plain,(
% 1.59/0.53 sF8 = count(sF2) | ~spl9_14),
% 1.59/0.53 inference(avatar_component_clause,[],[f354])).
% 1.59/0.53 tff(f359,definition,(
% 1.59/0.53 spl9_15 <=> sF5 = count(sF2)),
% 1.59/0.53 introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition])).
% 1.59/0.53 tff(f361,plain,(
% 1.59/0.53 sF5 != count(sF2) | spl9_15),
% 1.59/0.53 inference(avatar_component_clause,[],[f359])).
% 1.59/0.53 tff(f362,plain,(
% 1.59/0.53 ~spl9_9 | ~spl9_15),
% 1.59/0.53 inference(avatar_split_clause,[],[f352,f359,f223])).
% 1.59/0.53 tff(f363,plain,(
% 1.59/0.53 count(add(0,sF6)) = $sum(count(sF6),1) | spl9_7),
% 1.59/0.53 inference(resolution,[],[f215,f53])).
% 1.59/0.53 tff(f365,plain,(
% 1.59/0.53 count(add(0,sF6)) = $sum(1,count(sF6)) | spl9_7),
% 1.59/0.53 inference(forward_demodulation,[],[f363,f17])).
% 1.59/0.53 tff(f366,plain,(
% 1.59/0.53 count(sF2) = count(add(0,sF6)) | (spl9_5 | spl9_7 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f365,f343])).
% 1.59/0.53 tff(f367,plain,(
% 1.59/0.53 count(sF7) = count(sF2) | (spl9_5 | spl9_7 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f366,f77])).
% 1.59/0.53 tff(f368,plain,(
% 1.59/0.53 sF8 = count(sF2) | (spl9_5 | spl9_7 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f367,f79])).
% 1.59/0.53 tff(f369,plain,(
% 1.59/0.53 spl9_14 | spl9_5 | spl9_7 | ~spl9_11),
% 1.59/0.53 inference(avatar_split_clause,[],[f368,f242,f214,f205,f354])).
% 1.59/0.53 tff(f373,plain,(
% 1.59/0.53 count(sF7) = $sum(1,count(sF6)) | spl9_7),
% 1.59/0.53 inference(forward_demodulation,[],[f365,f77])).
% 1.59/0.53 tff(f375,plain,(
% 1.59/0.53 sF8 = $sum(1,count(sF6)) | spl9_7),
% 1.59/0.53 inference(forward_demodulation,[],[f373,f79])).
% 1.59/0.53 tff(f382,plain,(
% 1.59/0.53 count(remove(sK1,sF2)) = $sum(count(sF2),-1)),
% 1.59/0.53 inference(resolution,[],[f81,f86])).
% 1.59/0.53 tff(f383,plain,(
% 1.59/0.53 count(remove(0,sF4)) = $sum(count(sF4),-1)),
% 1.59/0.53 inference(resolution,[],[f81,f88])).
% 1.59/0.53 tff(f386,plain,(
% 1.59/0.53 count(remove(0,sF4)) = $sum(-1,count(sF4))),
% 1.59/0.53 inference(forward_demodulation,[],[f383,f17])).
% 1.59/0.53 tff(f387,plain,(
% 1.59/0.53 count(remove(sK1,sF2)) = $sum(-1,count(sF2))),
% 1.59/0.53 inference(forward_demodulation,[],[f382,f17])).
% 1.59/0.53 tff(f394,plain,(
% 1.59/0.53 count(remove(0,sF4)) = $sum(-1,sF5)),
% 1.59/0.53 inference(forward_demodulation,[],[f386,f73])).
% 1.59/0.53 tff(f395,plain,(
% 1.59/0.53 count(sF3) = $sum(-1,count(sF2))),
% 1.59/0.53 inference(forward_demodulation,[],[f387,f69])).
% 1.59/0.53 tff(f398,plain,(
% 1.59/0.53 count(remove(sK1,sK0)) = $sum(count(sK0),-1) | ~spl9_5),
% 1.59/0.53 inference(resolution,[],[f207,f81])).
% 1.59/0.53 tff(f399,plain,(
% 1.59/0.53 sK0 = add(sK1,remove(sK1,sK0)) | ~spl9_5),
% 1.59/0.53 inference(resolution,[],[f207,f61])).
% 1.59/0.53 tff(f402,plain,(
% 1.59/0.53 sK0 = add(sK1,sF6) | ~spl9_5),
% 1.59/0.53 inference(forward_demodulation,[],[f399,f75])).
% 1.59/0.53 tff(f403,plain,(
% 1.59/0.53 count(remove(sK1,sK0)) = $sum(-1,count(sK0)) | ~spl9_5),
% 1.59/0.53 inference(forward_demodulation,[],[f398,f17])).
% 1.59/0.53 tff(f404,plain,(
% 1.59/0.53 count(remove(sK1,sK0)) = $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6)),
% 1.59/0.53 inference(forward_demodulation,[],[f403,f210])).
% 1.59/0.53 tff(f405,plain,(
% 1.59/0.53 count(sF6) = $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6)),
% 1.59/0.53 inference(forward_demodulation,[],[f404,f75])).
% 1.59/0.53 tff(f433,plain,(
% 1.59/0.53 count(sK0) != count(sF6) | in(sK1,sF6) | ~spl9_5),
% 1.59/0.53 inference(superposition,[],[f56,f402])).
% 1.59/0.53 tff(f436,plain,(
% 1.59/0.53 count(sK0) != count(sF6) | ~spl9_5),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f433,f89])).
% 1.59/0.53 tff(f437,plain,(
% 1.59/0.53 count(sK0) != $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6)),
% 1.59/0.53 inference(forward_demodulation,[],[f436,f405])).
% 1.59/0.53 tff(f438,plain,(
% 1.59/0.53 count(sF2) != $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6)),
% 1.59/0.53 inference(forward_demodulation,[],[f437,f210])).
% 1.59/0.53 tff(f549,plain,(
% 1.59/0.53 ( ! [X0 : $int,X1 : $int] : ($sum($uminus(X0),$sum(X0,X1)) = X1) )),
% 1.59/0.53 inference(superposition,[],[f283,f27])).
% 1.59/0.53 tff(f1156,plain,(
% 1.59/0.53 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X1,$sum(X0,X2))) )),
% 1.59/0.53 inference(superposition,[],[f18,f267])).
% 1.59/0.53 tff(f2082,plain,(
% 1.59/0.53 count(sF2) = $sum(1,count(sK0)) | count(sF2) = count(sK0)),
% 1.59/0.53 inference(superposition,[],[f336,f67])).
% 1.59/0.53 tff(f2084,plain,(
% 1.59/0.53 count(sK0) = $sum(1,count(sF6)) | count(sK0) = count(sF6) | ~spl9_5),
% 1.59/0.53 inference(superposition,[],[f336,f402])).
% 1.59/0.53 tff(f2085,plain,(
% 1.59/0.53 count(sF4) = $sum(1,count(sF3)) | count(sF4) = count(sF3)),
% 1.59/0.53 inference(superposition,[],[f336,f71])).
% 1.59/0.53 tff(f2086,plain,(
% 1.59/0.53 count(sF7) = $sum(1,count(sF6)) | count(sF7) = count(sF6)),
% 1.59/0.53 inference(superposition,[],[f336,f77])).
% 1.59/0.53 tff(f2112,plain,(
% 1.59/0.53 count(sF4) = count(sF2) | count(sF4) = count(sF3)),
% 1.59/0.53 inference(forward_demodulation,[],[f2085,f339])).
% 1.59/0.53 tff(f2113,plain,(
% 1.59/0.53 sF8 = count(sK0) | count(sK0) = count(sF6) | (~spl9_5 | spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2084,f375])).
% 1.59/0.53 tff(f2117,plain,(
% 1.59/0.53 sF8 = count(sF2) | count(sK0) = count(sF6) | (~spl9_5 | ~spl9_6 | spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2113,f210])).
% 1.59/0.53 tff(f2161,plain,(
% 1.59/0.53 sF5 = count(sF2) | count(sF4) = count(sF3)),
% 1.59/0.53 inference(forward_demodulation,[],[f2112,f73])).
% 1.59/0.53 tff(f2291,plain,(
% 1.59/0.53 count(sK0) = $sum(-1,count(sF2)) | sF8 = count(sF2) | (~spl9_5 | ~spl9_6 | spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2117,f405])).
% 1.59/0.53 tff(f2322,plain,(
% 1.59/0.53 count(sF2) = $sum(-1,count(sF2)) | sF8 = count(sF2) | (~spl9_5 | ~spl9_6 | spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2291,f210])).
% 1.59/0.53 tff(f2325,plain,(
% 1.59/0.53 sF8 = count(sF2) | (~spl9_5 | ~spl9_6 | spl9_7)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2322,f438])).
% 1.59/0.53 tff(f2327,plain,(
% 1.59/0.53 spl9_14 | ~spl9_5 | ~spl9_6 | spl9_7),
% 1.59/0.53 inference(avatar_split_clause,[],[f2325,f214,f209,f205,f354])).
% 1.59/0.53 tff(f2360,plain,(
% 1.59/0.53 count(add(0,sF3)) = $sum(count(sF3),1) | spl9_9),
% 1.59/0.53 inference(resolution,[],[f224,f53])).
% 1.59/0.53 tff(f2363,plain,(
% 1.59/0.53 count(add(0,sF3)) = $sum(1,count(sF3)) | spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2360,f17])).
% 1.59/0.53 tff(f2365,plain,(
% 1.59/0.53 count(sF2) = count(add(0,sF3)) | spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2363,f339])).
% 1.59/0.53 tff(f2366,plain,(
% 1.59/0.53 count(sF4) = count(sF2) | spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2365,f71])).
% 1.59/0.53 tff(f2367,plain,(
% 1.59/0.53 count(sF4) = sF8 | (spl9_9 | ~spl9_14)),
% 1.59/0.53 inference(forward_demodulation,[],[f2366,f355])).
% 1.59/0.53 tff(f2368,plain,(
% 1.59/0.53 sF5 = sF8 | (spl9_9 | ~spl9_14)),
% 1.59/0.53 inference(forward_demodulation,[],[f2367,f73])).
% 1.59/0.53 tff(f2369,plain,(
% 1.59/0.53 $false | (spl9_9 | ~spl9_14)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2368,f80])).
% 1.59/0.53 tff(f2370,plain,(
% 1.59/0.53 spl9_9 | ~spl9_14),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2369])).
% 1.59/0.53 tff(f2376,plain,(
% 1.59/0.53 in(0,sF2) | ~spl9_9),
% 1.59/0.53 inference(resolution,[],[f225,f136])).
% 1.59/0.53 tff(f2464,plain,(
% 1.59/0.53 0 = sK1 | in(0,sK0) | ~spl9_9),
% 1.59/0.53 inference(resolution,[],[f2376,f296])).
% 1.59/0.53 tff(f2473,definition,(
% 1.59/0.53 spl9_30 <=> in(0,sK0)),
% 1.59/0.53 introduced(definition,[new_symbols(definition,[spl9_30])],[avatar_definition])).
% 1.59/0.53 tff(f2474,plain,(
% 1.59/0.53 ~in(0,sK0) | spl9_30),
% 1.59/0.53 inference(avatar_component_clause,[],[f2473])).
% 1.59/0.53 tff(f2475,plain,(
% 1.59/0.53 in(0,sK0) | ~spl9_30),
% 1.59/0.53 inference(avatar_component_clause,[],[f2473])).
% 1.59/0.53 tff(f2477,definition,(
% 1.59/0.53 spl9_31 <=> 0 = sK1),
% 1.59/0.53 introduced(definition,[new_symbols(definition,[spl9_31])],[avatar_definition])).
% 1.59/0.53 tff(f2478,plain,(
% 1.59/0.53 0 != sK1 | spl9_31),
% 1.59/0.53 inference(avatar_component_clause,[],[f2477])).
% 1.59/0.53 tff(f2479,plain,(
% 1.59/0.53 0 = sK1 | ~spl9_31),
% 1.59/0.53 inference(avatar_component_clause,[],[f2477])).
% 1.59/0.53 tff(f2480,plain,(
% 1.59/0.53 spl9_30 | spl9_31 | ~spl9_9),
% 1.59/0.53 inference(avatar_split_clause,[],[f2464,f223,f2477,f2473])).
% 1.59/0.53 tff(f2551,plain,(
% 1.59/0.53 in(0,sF6) | 0 = sK1 | ~spl9_30),
% 1.59/0.53 inference(resolution,[],[f2475,f304])).
% 1.59/0.53 tff(f2552,plain,(
% 1.59/0.53 in(0,sF2) | ~spl9_30),
% 1.59/0.53 inference(resolution,[],[f2475,f133])).
% 1.59/0.53 tff(f2562,plain,(
% 1.59/0.53 0 = sK1 | (spl9_7 | ~spl9_30)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2551,f215])).
% 1.59/0.53 tff(f2565,plain,(
% 1.59/0.53 spl9_31 | spl9_7 | ~spl9_30),
% 1.59/0.53 inference(avatar_split_clause,[],[f2562,f2473,f214,f2477])).
% 1.59/0.53 tff(f2592,plain,(
% 1.59/0.53 ~in(0,sF3) | ~spl9_31),
% 1.59/0.53 inference(superposition,[],[f87,f2479])).
% 1.59/0.53 tff(f2593,plain,(
% 1.59/0.53 ~in(0,sF6) | ~spl9_31),
% 1.59/0.53 inference(superposition,[],[f89,f2479])).
% 1.59/0.53 tff(f2598,plain,(
% 1.59/0.53 $false | (~spl9_9 | ~spl9_31)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2592,f225])).
% 1.59/0.53 tff(f2599,plain,(
% 1.59/0.53 ~spl9_9 | ~spl9_31),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2598])).
% 1.59/0.53 tff(f2602,plain,(
% 1.59/0.53 count(sF7) != $sum(1,count(sF6)) | ~spl9_7),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f347,f216])).
% 1.59/0.53 tff(f2607,plain,(
% 1.59/0.53 $false | (~spl9_7 | ~spl9_31)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2593,f216])).
% 1.59/0.53 tff(f2608,plain,(
% 1.59/0.53 ~spl9_7 | ~spl9_31),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2607])).
% 1.59/0.53 tff(f2633,plain,(
% 1.59/0.53 in(0,sK0) | ~spl9_7),
% 1.59/0.53 inference(resolution,[],[f216,f137])).
% 1.59/0.53 tff(f2635,plain,(
% 1.59/0.53 count(add(0,sF6)) = count(sF6) | ~spl9_7),
% 1.59/0.53 inference(resolution,[],[f216,f55])).
% 1.59/0.53 tff(f2644,plain,(
% 1.59/0.53 count(add(0,sF6)) = $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6 | ~spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2635,f405])).
% 1.59/0.53 tff(f2769,plain,(
% 1.59/0.53 in(0,sF3) | 0 = sK1 | ~spl9_30),
% 1.59/0.53 inference(resolution,[],[f2552,f303])).
% 1.59/0.53 tff(f2782,plain,(
% 1.59/0.53 0 = sK1 | (spl9_9 | ~spl9_30)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2769,f224])).
% 1.59/0.53 tff(f2784,plain,(
% 1.59/0.53 $false | (spl9_9 | ~spl9_30 | spl9_31)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2782,f2478])).
% 1.59/0.53 tff(f2785,plain,(
% 1.59/0.53 spl9_9 | ~spl9_30 | spl9_31),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2784])).
% 1.59/0.53 tff(f2786,plain,(
% 1.59/0.53 $false | (~spl9_7 | spl9_30)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2633,f2474])).
% 1.59/0.53 tff(f2787,plain,(
% 1.59/0.53 ~spl9_7 | spl9_30),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2786])).
% 1.59/0.53 tff(f2790,plain,(
% 1.59/0.53 count(add(0,sF3)) = count(sF3) | ~spl9_9),
% 1.59/0.53 inference(resolution,[],[f225,f55])).
% 1.59/0.53 tff(f2800,plain,(
% 1.59/0.53 count(add(0,sF3)) = $sum(-1,count(sF2)) | ~spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2790,f395])).
% 1.59/0.53 tff(f2835,plain,(
% 1.59/0.53 count(sF7) = $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6 | ~spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2644,f77])).
% 1.59/0.53 tff(f2836,plain,(
% 1.59/0.53 count(sF4) = $sum(-1,count(sF2)) | ~spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2800,f71])).
% 1.59/0.53 tff(f2838,plain,(
% 1.59/0.53 count(sF4) = $sum(-1,count(sF2)) | sF5 = count(sF2)),
% 1.59/0.53 inference(forward_demodulation,[],[f2161,f395])).
% 1.59/0.53 tff(f2841,plain,(
% 1.59/0.53 sF8 = $sum(-1,count(sF2)) | (~spl9_5 | ~spl9_6 | ~spl9_7)),
% 1.59/0.53 inference(forward_demodulation,[],[f2835,f79])).
% 1.59/0.53 tff(f2842,plain,(
% 1.59/0.53 sF5 = $sum(-1,count(sF2)) | ~spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f2836,f73])).
% 1.59/0.53 tff(f2843,plain,(
% 1.59/0.53 count(sF4) = $sum(-1,count(sF2)) | spl9_15),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2838,f361])).
% 1.59/0.53 tff(f2846,plain,(
% 1.59/0.53 count(sF4) = sF8 | (~spl9_5 | ~spl9_6 | ~spl9_7 | spl9_15)),
% 1.59/0.53 inference(forward_demodulation,[],[f2843,f2841])).
% 1.59/0.53 tff(f2849,plain,(
% 1.59/0.53 sF5 = sF8 | (~spl9_5 | ~spl9_6 | ~spl9_7 | spl9_15)),
% 1.59/0.53 inference(forward_demodulation,[],[f2846,f73])).
% 1.59/0.53 tff(f2851,plain,(
% 1.59/0.53 $false | (~spl9_5 | ~spl9_6 | ~spl9_7 | spl9_15)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2849,f80])).
% 1.59/0.53 tff(f2852,plain,(
% 1.59/0.53 ~spl9_5 | ~spl9_6 | ~spl9_7 | spl9_15),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2851])).
% 1.59/0.53 tff(f2856,plain,(
% 1.59/0.53 count(sF2) = $sum(1,count(sK0)) | spl9_6),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2082,f211])).
% 1.59/0.53 tff(f2860,plain,(
% 1.59/0.53 sF8 = $sum(1,count(sF6)) | count(sF7) = count(sF6)),
% 1.59/0.53 inference(forward_demodulation,[],[f2086,f79])).
% 1.59/0.53 tff(f2861,plain,(
% 1.59/0.53 sF8 != $sum(1,count(sF6)) | ~spl9_7),
% 1.59/0.53 inference(forward_demodulation,[],[f2602,f79])).
% 1.59/0.53 tff(f2864,plain,(
% 1.59/0.53 count(sF2) = $sum(1,count(sF6)) | (spl9_6 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f2856,f243])).
% 1.59/0.53 tff(f2868,plain,(
% 1.59/0.53 sF8 = count(sF6) | sF8 = $sum(1,count(sF6))),
% 1.59/0.53 inference(forward_demodulation,[],[f2860,f79])).
% 1.59/0.53 tff(f2872,plain,(
% 1.59/0.53 sF8 = $sum(1,count(sF6)) | spl9_8),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2868,f220])).
% 1.59/0.53 tff(f2875,plain,(
% 1.59/0.53 $false | (~spl9_7 | spl9_8)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f2872,f2861])).
% 1.59/0.53 tff(f2876,plain,(
% 1.59/0.53 ~spl9_7 | spl9_8),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f2875])).
% 1.59/0.53 tff(f2950,plain,(
% 1.59/0.53 ( ! [X0 : $int] : ($sum(-1,$sum(count(sF2),X0)) = $sum(sF5,X0)) ) | ~spl9_9),
% 1.59/0.53 inference(superposition,[],[f18,f2842])).
% 1.59/0.53 tff(f3053,plain,(
% 1.59/0.53 count(sF4) = $sum(1,count(remove(0,sF4)))),
% 1.59/0.53 inference(superposition,[],[f333,f254])).
% 1.59/0.53 tff(f3068,plain,(
% 1.59/0.53 count(sF4) = $sum(1,$sum(-1,sF5))),
% 1.59/0.53 inference(forward_demodulation,[],[f3053,f394])).
% 1.59/0.53 tff(f3070,plain,(
% 1.59/0.53 sF5 = $sum(1,$sum(-1,sF5))),
% 1.59/0.53 inference(forward_demodulation,[],[f3068,f73])).
% 1.59/0.53 tff(f3130,plain,(
% 1.59/0.53 ( ! [X0 : $int] : ($sum(X0,count(sF2)) = $sum(1,$sum(count(sF3),X0))) )),
% 1.59/0.53 inference(superposition,[],[f277,f339])).
% 1.59/0.53 tff(f3137,plain,(
% 1.59/0.53 ( ! [X0 : $int] : ($sum(1,$sum($sum(-1,count(sF2)),X0)) = $sum(X0,count(sF2))) )),
% 1.59/0.53 inference(forward_demodulation,[],[f3130,f395])).
% 1.59/0.53 tff(f3158,plain,(
% 1.59/0.53 ( ! [X0 : $int] : ($sum(1,$sum(-1,$sum(count(sF2),X0))) = $sum(X0,count(sF2))) )),
% 1.59/0.53 inference(forward_demodulation,[],[f3137,f18])).
% 1.59/0.53 tff(f3176,plain,(
% 1.59/0.53 ( ! [X0 : $int] : ($sum(X0,count(sF2)) = $sum(1,$sum(sF5,X0))) ) | ~spl9_9),
% 1.59/0.53 inference(forward_demodulation,[],[f3158,f2950])).
% 1.59/0.53 tff(f3585,plain,(
% 1.59/0.53 count(sF6) = $sum($uminus(1),count(sF2)) | (spl9_6 | ~spl9_11)),
% 1.59/0.53 inference(superposition,[],[f549,f2864])).
% 1.59/0.53 tff(f3628,plain,(
% 1.59/0.53 count(sF6) = $sum(-1,count(sF2)) | (spl9_6 | ~spl9_11)),
% 1.59/0.53 inference(evaluation,[],[f3585])).
% 1.59/0.53 tff(f3654,plain,(
% 1.59/0.53 count(sF6) = $sum(1,$sum(sF5,-1)) | (spl9_6 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f3628,f3176])).
% 1.59/0.53 tff(f3673,plain,(
% 1.59/0.53 count(sF6) = $sum(-1,$sum(1,sF5)) | (spl9_6 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f3654,f277])).
% 1.59/0.53 tff(f3681,plain,(
% 1.59/0.53 count(sF6) = $sum(1,$sum(-1,sF5)) | (spl9_6 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f3673,f1156])).
% 1.59/0.53 tff(f3686,plain,(
% 1.59/0.53 sF5 = count(sF6) | (spl9_6 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(forward_demodulation,[],[f3681,f3070])).
% 1.59/0.53 tff(f3689,plain,(
% 1.59/0.53 sF5 = sF8 | (spl9_6 | ~spl9_8 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(superposition,[],[f3686,f219])).
% 1.59/0.53 tff(f3704,plain,(
% 1.59/0.53 $false | (spl9_6 | ~spl9_8 | ~spl9_9 | ~spl9_11)),
% 1.59/0.53 inference(forward_subsumption_resolution,[],[f3689,f80])).
% 1.59/0.53 tff(f3705,plain,(
% 1.59/0.53 spl9_6 | ~spl9_8 | ~spl9_9 | ~spl9_11),
% 1.59/0.53 inference(avatar_contradiction_clause,[],[f3704])).
% 1.59/0.53 cnf(s3, plain, spl9_5 | ~spl9_6, inference(sat_conversion,[],[f212])).
% 1.59/0.53 cnf(s7, plain, spl9_5 | spl9_11, inference(sat_conversion,[],[f249])).
% 1.59/0.53 cnf(s8, plain, ~spl9_5 | spl9_6, inference(sat_conversion,[],[f263])).
% 1.59/0.53 cnf(s11, plain, ~spl9_9 | ~spl9_15, inference(sat_conversion,[],[f362])).
% 1.59/0.53 cnf(s12, plain, spl9_5 | spl9_7 | ~spl9_11 | spl9_14, inference(sat_conversion,[],[f369])).
% 1.59/0.53 cnf(s40, plain, ~spl9_5 | ~spl9_6 | spl9_7 | spl9_14, inference(sat_conversion,[],[f2327])).
% 1.59/0.53 cnf(s47, plain, spl9_9 | ~spl9_14, inference(sat_conversion,[],[f2370])).
% 1.59/0.53 cnf(s49, plain, ~spl9_9 | spl9_30 | spl9_31, inference(sat_conversion,[],[f2480])).
% 1.59/0.53 cnf(s50, plain, spl9_7 | ~spl9_30 | spl9_31, inference(sat_conversion,[],[f2565])).
% 1.59/0.53 cnf(s51, plain, ~spl9_9 | ~spl9_31, inference(sat_conversion,[],[f2599])).
% 1.59/0.53 cnf(s52, plain, ~spl9_7 | ~spl9_31, inference(sat_conversion,[],[f2608])).
% 1.59/0.53 cnf(s57, plain, spl9_9 | ~spl9_30 | spl9_31, inference(sat_conversion,[],[f2785])).
% 1.59/0.53 cnf(s58, plain, ~spl9_7 | spl9_30, inference(sat_conversion,[],[f2787])).
% 1.59/0.53 cnf(s61, plain, ~spl9_5 | ~spl9_6 | ~spl9_7 | spl9_15, inference(sat_conversion,[],[f2852])).
% 1.59/0.53 cnf(s63, plain, ~spl9_7 | spl9_8, inference(sat_conversion,[],[f2876])).
% 1.59/0.53 cnf(s69, plain, spl9_6 | ~spl9_8 | ~spl9_9 | ~spl9_11, inference(sat_conversion,[],[f3705])).
% 1.59/0.53 cnf(s77, plain, spl9_7 | ~spl9_11 | spl9_5, inference(rat,[],[s50,s49,s51,s47,s12])).
% 1.59/0.53 cnf(s78, plain, spl9_5, inference(rat,[],[s57,s69,s52,s58,s63,s77,s3,s7])).
% 1.59/0.53 cnf(s79, plain, spl9_6, inference(rat,[],[s8,s78])).
% 1.59/0.53 cnf(s81, plain, spl9_7, inference(rat,[],[s50,s49,s51,s47,s40,s78,s79])).
% 1.59/0.53 cnf(s83, plain, spl9_30, inference(rat,[],[s58,s81])).
% 1.59/0.53 cnf(s84, plain, ~spl9_31, inference(rat,[],[s52,s81])).
% 1.59/0.53 cnf(s85, plain, spl9_15, inference(rat,[],[s61,s79,s78,s81])).
% 1.59/0.53 cnf(s86, plain, spl9_9, inference(rat,[],[s57,s83,s84])).
% 1.59/0.53 cnf(s87, plain, $false, inference(rat,[],[s11,s85,s86])).
% 1.59/0.53 tff(f3706,plain,(
% 1.59/0.53 $false),
% 1.59/0.53 inference(avatar_sat_refutation,[],[s87])).
% 1.59/0.53 % SZS output end Proof for theBenchmark
% 1.59/0.53 % (871763)------------------------------
% 1.59/0.53 % (871763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.53 % (871763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.53 % (871763)CaDiCaL version: 2.1.3
% 1.59/0.53 % (871763)Termination reason: Refutation
% 1.59/0.53 % (871763)Time elapsed: 0.105 s
% 1.59/0.53 % (871763)Peak memory usage: 14 MB
% 1.59/0.53 % (871763)Instructions burned: 159 (million)
% 1.59/0.53 % (871732)Success in time 0.281 s
% 1.59/0.53 % Vampire exiting
%------------------------------------------------------------------------------