%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU903^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Wed Sep 30 08:34:22 AM UTC 2026
% Result : Theorem 0.36s 0.38s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU903^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:44:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.38 % (2212818)Will run a generic schedule for satisfiability detection.
% 0.36/0.38 % (2212824)% WARNING: option uhcvi not known.
% 0.36/0.38 % (2212824)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1801982112:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.38 % (2212824)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.38 % (2212824)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.36/0.38 % (2212825)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=369513489:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.38 % (2212823)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2288448250_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.38 % (2212826)dis+10_1_sil=32000:sp=arity:random_seed=1349400634:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.38 % Exception at run slice level
% 0.36/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.38 % (2212827)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1535332599:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.38 % (2212828)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1913170190:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.38 % (2212827)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.38 % (2212829)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1123898542:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.38 % (2212834)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=490488700:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.38 % Exception at run slice level
% 0.36/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.38 % (2212839)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3217955769:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.36/0.38 % (2212826)Instruction limit reached!
% 0.36/0.38 % (2212826)------------------------------
% 0.36/0.38 % (2212826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.38 % (2212826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.38 % (2212826)CaDiCaL version: 2.1.3
% 0.36/0.38 % (2212826)Termination reason: Instruction limit
% 0.36/0.38 % (2212826)Termination phase: Saturation
% 0.36/0.38 % (2212826)Time elapsed: 0.097 s
% 0.36/0.38 % (2212826)Peak memory usage: 12 MB
% 0.36/0.38 % (2212826)Instructions burned: 103 (million)
% 0.36/0.38 % (2212827)Instruction limit reached!
% 0.36/0.38 % (2212827)------------------------------
% 0.36/0.38 % (2212827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.38 % (2212827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.38 % (2212827)CaDiCaL version: 2.1.3
% 0.36/0.38 % (2212827)Termination reason: Instruction limit
% 0.36/0.38 % (2212827)Termination phase: Saturation
% 0.36/0.38 % (2212827)Time elapsed: 0.091 s
% 0.36/0.38 % (2212827)Peak memory usage: 13 MB
% 0.36/0.38 % (2212827)Instructions burned: 118 (million)
% 0.36/0.38 % (2212828) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2212818-2212828"...
% 0.36/0.38 % (2212828)...printing done.
% 0.36/0.38 % (2212839) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2212818-2212839"...
% 0.36/0.38 % (2212828)Refutation found. Thanks to Tanya!
% 0.36/0.38 % SZS status Theorem for theBenchmark
% 0.36/0.38 % SZS output start Proof for theBenchmark
% 0.36/0.38 thf(type_def_5, type, g: $tType).
% 0.36/0.38 thf(type_def_6, type, b: $tType).
% 0.36/0.38 thf(type_def_7, type, a: $tType).
% 0.36/0.38 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.36/0.38 thf(func_def_3, type, sP0: ((g > $o) > (g > g) > $o)).
% 0.36/0.38 thf(func_def_4, type, sK1: ((g > $o) > (g > g) > g)).
% 0.36/0.38 thf(func_def_5, type, sK2: (g > b)).
% 0.36/0.38 thf(func_def_6, type, sK3: (b > a)).
% 0.36/0.38 thf(func_def_7, type, sK4: (g > $o)).
% 0.36/0.38 thf(func_def_8, type, sK5: (g > g)).
% 0.36/0.38 thf(func_def_9, type, sK6: (b > $o)).
% 0.36/0.38 thf(func_def_10, type, sK7: (b > b)).
% 0.36/0.38 thf(func_def_11, type, sK8: (a > $o)).
% 0.36/0.38 thf(func_def_12, type, sK9: (a > a)).
% 0.36/0.38 thf(func_def_13, type, sK10: g).
% 0.36/0.38 thf(func_def_14, type, sK11: g).
% 0.36/0.38 thf(func_def_15, type, sK12: a).
% 0.36/0.38 thf(func_def_16, type, vNOT: ($o > $o)).
% 0.36/0.38 thf(func_def_18, type, db0: !>[X0: $tType]:(X0)).
% 0.36/0.38 thf(func_def_19, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.36/0.38 thf(func_def_20, type, db1: !>[X0: $tType]:(X0)).
% 0.36/0.38 thf(func_def_21, type, sK14: ((g > g) > (g > g > $o) > g)).
% 0.36/0.38 thf(func_def_22, type, sK15: ((g > g) > (g > g > $o) > (g > g > g) > g)).
% 0.36/0.38 thf(func_def_23, type, db2: !>[X0: $tType]:(X0)).
% 0.36/0.38 thf(f1,conjecture,(
% 0.36/0.38 ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((! [X8 : b] : ((X4 @ X8) => (((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8))))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : a] : ((X6 @ X8) => (X6 @ (X7 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X4 @ (X5 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (((X0 @ (X3 @ X8))) = ((X5 @ (X0 @ X8))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X4 @ (X5 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (X2 @ (X3 @ X8)))) => (! [X8 : g] : ((X2 @ X8) => (((X1 @ (X0 @ (X3 @ X8)))) = ((X7 @ (X1 @ (X0 @ X8)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a] : ((X6 @ X8) => (X6 @ (X7 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (X2 @ (X3 @ X8)))))),
% 0.36/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme)).
% 0.36/0.38 thf(f2,negated_conjecture,(
% 0.36/0.38 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((! [X8 : b] : ((X4 @ X8) => (((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8))))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : a] : ((X6 @ X8) => (X6 @ (X7 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X4 @ (X5 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (((X0 @ (X3 @ X8))) = ((X5 @ (X0 @ X8))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X4 @ (X5 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (X2 @ (X3 @ X8)))) => (! [X8 : g] : ((X2 @ X8) => (((X1 @ (X0 @ (X3 @ X8)))) = ((X7 @ (X1 @ (X0 @ X8)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a] : ((X6 @ X8) => (X6 @ (X7 @ X8))) & ! [X8 : g] : ((X2 @ X8) => (X2 @ (X3 @ X8)))))),
% 0.36/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.36/0.38 thf(f3,plain,(
% 0.36/0.38 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((! [X8 : b] : ((X4 @ X8) => (((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8))))) & ! [X9 : b] : ((X4 @ X9) => (X6 @ (X1 @ X9))) & ! [X10 : a] : ((X6 @ X10) => (X6 @ (X7 @ X10))) & ! [X11 : b] : ((X4 @ X11) => (X4 @ (X5 @ X11))) & ! [X12 : g] : ((X2 @ X12) => (((X0 @ (X3 @ X12))) = ((X5 @ (X0 @ X12))))) & ! [X13 : g] : ((X2 @ X13) => (X4 @ (X0 @ X13))) & ! [X14 : b] : ((X4 @ X14) => (X4 @ (X5 @ X14))) & ! [X15 : g] : ((X2 @ X15) => (X2 @ (X3 @ X15)))) => (! [X16 : g] : ((X2 @ X16) => (((X1 @ (X0 @ (X3 @ X16)))) = ((X7 @ (X1 @ (X0 @ X16)))))) & ! [X17 : g] : ((X2 @ X17) => (X6 @ (X1 @ (X0 @ X17)))) & ! [X18 : a] : ((X6 @ X18) => (X6 @ (X7 @ X18))) & ! [X19 : g] : ((X2 @ X19) => (X2 @ (X3 @ X19)))))),
% 0.36/0.38 inference(rectify,[],[f2])).
% 0.36/0.38 thf(f4,plain,(
% 0.36/0.38 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((! [X8 : b] : ((((X4 @ X8)) = $true) => (((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8))))) & ! [X9 : b] : ((((X4 @ X9)) = $true) => (((X6 @ (X1 @ X9))) = $true)) & ! [X10 : a] : ((((X6 @ X10)) = $true) => (((X6 @ (X7 @ X10))) = $true)) & ! [X11 : b] : ((((X4 @ X11)) = $true) => (((X4 @ (X5 @ X11))) = $true)) & ! [X12 : g] : ((((X2 @ X12)) = $true) => (((X0 @ (X3 @ X12))) = ((X5 @ (X0 @ X12))))) & ! [X13 : g] : ((((X2 @ X13)) = $true) => (((X4 @ (X0 @ X13))) = $true)) & ! [X14 : b] : ((((X4 @ X14)) = $true) => (((X4 @ (X5 @ X14))) = $true)) & ! [X15 : g] : ((((X2 @ X15)) = $true) => (((X2 @ (X3 @ X15))) = $true))) => (! [X16 : g] : ((((X2 @ X16)) = $true) => (((X1 @ (X0 @ (X3 @ X16)))) = ((X7 @ (X1 @ (X0 @ X16)))))) & ! [X17 : g] : ((((X2 @ X17)) = $true) => (((X6 @ (X1 @ (X0 @ X17)))) = $true)) & ! [X18 : a] : ((((X6 @ X18)) = $true) => (((X6 @ (X7 @ X18))) = $true)) & ! [X19 : g] : ((((X2 @ X19)) = $true) => (((X2 @ (X3 @ X19))) = $true))))),
% 0.36/0.38 inference(fool_elimination,[],[f3])).
% 0.36/0.38 thf(f5,plain,(
% 0.36/0.38 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((? [X16 : g] : ((((X1 @ (X0 @ (X3 @ X16)))) != ((X7 @ (X1 @ (X0 @ X16))))) & (((X2 @ X16)) = $true)) | ? [X17 : g] : ((((X6 @ (X1 @ (X0 @ X17)))) != $true) & (((X2 @ X17)) = $true)) | ? [X18 : a] : ((((X6 @ (X7 @ X18))) != $true) & (((X6 @ X18)) = $true)) | ? [X19 : g] : ((((X2 @ (X3 @ X19))) != $true) & (((X2 @ X19)) = $true))) & (! [X8 : b] : ((((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8)))) | (((X4 @ X8)) != $true)) & ! [X9 : b] : ((((X6 @ (X1 @ X9))) = $true) | (((X4 @ X9)) != $true)) & ! [X10 : a] : ((((X6 @ (X7 @ X10))) = $true) | (((X6 @ X10)) != $true)) & ! [X11 : b] : ((((X4 @ (X5 @ X11))) = $true) | (((X4 @ X11)) != $true)) & ! [X12 : g] : ((((X0 @ (X3 @ X12))) = ((X5 @ (X0 @ X12)))) | (((X2 @ X12)) != $true)) & ! [X13 : g] : ((((X4 @ (X0 @ X13))) = $true) | (((X2 @ X13)) != $true)) & ! [X14 : b] : ((((X4 @ (X5 @ X14))) = $true) | (((X4 @ X14)) != $true)) & ! [X15 : g] : ((((X2 @ (X3 @ X15))) = $true) | (((X2 @ X15)) != $true))))),
% 0.36/0.38 inference(ennf_transformation,[],[f4])).
% 0.36/0.38 thf(f6,plain,(
% 0.36/0.38 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((? [X16 : g] : ((((X1 @ (X0 @ (X3 @ X16)))) != ((X7 @ (X1 @ (X0 @ X16))))) & (((X2 @ X16)) = $true)) | ? [X17 : g] : ((((X6 @ (X1 @ (X0 @ X17)))) != $true) & (((X2 @ X17)) = $true)) | ? [X18 : a] : ((((X6 @ (X7 @ X18))) != $true) & (((X6 @ X18)) = $true)) | ? [X19 : g] : ((((X2 @ (X3 @ X19))) != $true) & (((X2 @ X19)) = $true))) & ! [X8 : b] : ((((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8)))) | (((X4 @ X8)) != $true)) & ! [X9 : b] : ((((X6 @ (X1 @ X9))) = $true) | (((X4 @ X9)) != $true)) & ! [X10 : a] : ((((X6 @ (X7 @ X10))) = $true) | (((X6 @ X10)) != $true)) & ! [X11 : b] : ((((X4 @ (X5 @ X11))) = $true) | (((X4 @ X11)) != $true)) & ! [X12 : g] : ((((X0 @ (X3 @ X12))) = ((X5 @ (X0 @ X12)))) | (((X2 @ X12)) != $true)) & ! [X13 : g] : ((((X4 @ (X0 @ X13))) = $true) | (((X2 @ X13)) != $true)) & ! [X14 : b] : ((((X4 @ (X5 @ X14))) = $true) | (((X4 @ X14)) != $true)) & ! [X15 : g] : ((((X2 @ (X3 @ X15))) = $true) | (((X2 @ X15)) != $true)))),
% 0.36/0.38 inference(flattening,[],[f5])).
% 0.36/0.38 thf(f7,definition,(
% 0.36/0.38 ! [X3 : (g > g),X2 : (g > $o)] : (? [X19 : g] : ((((X2 @ (X3 @ X19))) != $true) & (((X2 @ X19)) = $true)) | ~ ($true = ((sP0 @ X2 @ X3))))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.36/0.38 thf(f8,plain,(
% 0.36/0.38 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((? [X16 : g] : ((((X1 @ (X0 @ (X3 @ X16)))) != ((X7 @ (X1 @ (X0 @ X16))))) & (((X2 @ X16)) = $true)) | ? [X17 : g] : ((((X6 @ (X1 @ (X0 @ X17)))) != $true) & (((X2 @ X17)) = $true)) | ? [X18 : a] : ((((X6 @ (X7 @ X18))) != $true) & (((X6 @ X18)) = $true)) | ($true = ((sP0 @ X2 @ X3)))) & ! [X8 : b] : ((((X1 @ (X5 @ X8))) = ((X7 @ (X1 @ X8)))) | (((X4 @ X8)) != $true)) & ! [X9 : b] : ((((X6 @ (X1 @ X9))) = $true) | (((X4 @ X9)) != $true)) & ! [X10 : a] : ((((X6 @ (X7 @ X10))) = $true) | (((X6 @ X10)) != $true)) & ! [X11 : b] : ((((X4 @ (X5 @ X11))) = $true) | (((X4 @ X11)) != $true)) & ! [X12 : g] : ((((X0 @ (X3 @ X12))) = ((X5 @ (X0 @ X12)))) | (((X2 @ X12)) != $true)) & ! [X13 : g] : ((((X4 @ (X0 @ X13))) = $true) | (((X2 @ X13)) != $true)) & ! [X14 : b] : ((((X4 @ (X5 @ X14))) = $true) | (((X4 @ X14)) != $true)) & ! [X15 : g] : ((((X2 @ (X3 @ X15))) = $true) | (((X2 @ X15)) != $true)))),
% 0.36/0.38 inference(definition_folding,[],[f6,f7])).
% 0.36/0.38 thf(f9,plain,(
% 0.36/0.38 ! [X3 : (g > g),X2 : (g > $o)] : (? [X19 : g] : ((((X2 @ (X3 @ X19))) != $true) & (((X2 @ X19)) = $true)) | ($true != ((sP0 @ X2 @ X3))))),
% 0.36/0.38 inference(nnf_transformation,[],[f7])).
% 0.36/0.38 thf(f10,plain,(
% 0.36/0.38 ! [X0 : (g > g),X1 : (g > $o)] : (? [X2 : g] : (($true != ((X1 @ (X0 @ X2)))) & ($true = ((X1 @ X2)))) | ($true != ((sP0 @ X1 @ X0))))),
% 0.36/0.38 inference(rectify,[],[f9])).
% 0.36/0.38 thf(f11,plain,(
% 0.36/0.38 ! [X0 : (g > g),X1 : (g > $o)] : ((($true != ((X1 @ (X0 @ (sK1 @ X1 @ X0))))) & ($true = ((X1 @ (sK1 @ X1 @ X0))))) | ($true != ((sP0 @ X1 @ X0))))),
% 0.36/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK1 @ X1 @ X0)],[f10])).
% 0.36/0.38 thf(f12,plain,(
% 0.36/0.38 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g),X4 : (b > $o),X5 : (b > b),X6 : (a > $o),X7 : (a > a)] : ((? [X8 : g] : ((((X1 @ (X0 @ (X3 @ X8)))) != ((X7 @ (X1 @ (X0 @ X8))))) & (((X2 @ X8)) = $true)) | ? [X9 : g] : (($true != ((X6 @ (X1 @ (X0 @ X9))))) & ($true = ((X2 @ X9)))) | ? [X10 : a] : ((((X6 @ (X7 @ X10))) != $true) & (((X6 @ X10)) = $true)) | ($true = ((sP0 @ X2 @ X3)))) & ! [X11 : b] : ((((X1 @ (X5 @ X11))) = ((X7 @ (X1 @ X11)))) | (((X4 @ X11)) != $true)) & ! [X12 : b] : (($true = ((X6 @ (X1 @ X12)))) | ($true != ((X4 @ X12)))) & ! [X13 : a] : (($true = ((X6 @ (X7 @ X13)))) | ($true != ((X6 @ X13)))) & ! [X14 : b] : ((((X4 @ (X5 @ X14))) = $true) | (((X4 @ X14)) != $true)) & ! [X15 : g] : ((((X0 @ (X3 @ X15))) = ((X5 @ (X0 @ X15)))) | (((X2 @ X15)) != $true)) & ! [X16 : g] : (($true = ((X4 @ (X0 @ X16)))) | (((X2 @ X16)) != $true)) & ! [X17 : b] : (($true = ((X4 @ (X5 @ X17)))) | ($true != ((X4 @ X17)))) & ! [X18 : g] : (($true = ((X2 @ (X3 @ X18)))) | ($true != ((X2 @ X18)))))),
% 0.36/0.38 inference(rectify,[],[f8])).
% 0.36/0.38 thf(f13,plain,(
% 0.36/0.38 (((((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) & ($true = ((sK4 @ sK10)))) | (($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) & ($true = ((sK4 @ sK11)))) | (($true != ((sK8 @ (sK9 @ sK12)))) & ($true = ((sK8 @ sK12)))) | ($true = ((sP0 @ sK4 @ sK5)))) & ! [X11 : b] : ((((sK3 @ (sK7 @ X11))) = ((sK9 @ (sK3 @ X11)))) | ($true != ((sK6 @ X11)))) & ! [X12 : b] : (($true = ((sK8 @ (sK3 @ X12)))) | ($true != ((sK6 @ X12)))) & ! [X13 : a] : (($true = ((sK8 @ (sK9 @ X13)))) | ($true != ((sK8 @ X13)))) & ! [X14 : b] : (($true = ((sK6 @ (sK7 @ X14)))) | ($true != ((sK6 @ X14)))) & ! [X15 : g] : ((((sK2 @ (sK5 @ X15))) = ((sK7 @ (sK2 @ X15)))) | ($true != ((sK4 @ X15)))) & ! [X16 : g] : (($true = ((sK6 @ (sK2 @ X16)))) | ($true != ((sK4 @ X16)))) & ! [X17 : b] : (($true = ((sK6 @ (sK7 @ X17)))) | ($true != ((sK6 @ X17)))) & ! [X18 : g] : (($true = ((sK4 @ (sK5 @ X18)))) | ($true != ((sK4 @ X18))))),
% 0.36/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8),skolemize(X7,sK9),skolemize(X8,sK10),skolemize(X9,sK11),skolemize(X10,sK12)],[f12])).
% 0.36/0.38 thf(f14,plain,(
% 0.36/0.38 ( ! [X0 : (g > g),X1 : (g > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true = ((X1 @ (sK1 @ X1 @ X0))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f11])).
% 0.36/0.38 thf(f15,plain,(
% 0.36/0.38 ( ! [X0 : (g > g),X1 : (g > $o)] : (($true != ((X1 @ (X0 @ (sK1 @ X1 @ X0))))) | ($true != ((sP0 @ X1 @ X0)))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f11])).
% 0.36/0.38 thf(f16,plain,(
% 0.36/0.38 ( ! [X18 : g] : (($true != ((sK4 @ X18))) | ($true = ((sK4 @ (sK5 @ X18))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f18,plain,(
% 0.36/0.38 ( ! [X16 : g] : (($true != ((sK4 @ X16))) | ($true = ((sK6 @ (sK2 @ X16))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f19,plain,(
% 0.36/0.38 ( ! [X15 : g] : (($true != ((sK4 @ X15))) | (((sK2 @ (sK5 @ X15))) = ((sK7 @ (sK2 @ X15))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f21,plain,(
% 0.36/0.38 ( ! [X13 : a] : (($true != ((sK8 @ X13))) | ($true = ((sK8 @ (sK9 @ X13))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f22,plain,(
% 0.36/0.38 ( ! [X12 : b] : (($true != ((sK6 @ X12))) | ($true = ((sK8 @ (sK3 @ X12))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f23,plain,(
% 0.36/0.38 ( ! [X11 : b] : (($true != ((sK6 @ X11))) | (((sK3 @ (sK7 @ X11))) = ((sK9 @ (sK3 @ X11))))) )),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f24,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK10))) | ($true = ((sK4 @ sK11))) | ($true = ((sK8 @ sK12))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f25,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK10))) | ($true = ((sK4 @ sK11))) | ($true != ((sK8 @ (sK9 @ sK12)))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f26,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK10))) | ($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ($true = ((sK8 @ sK12))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f27,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK10))) | ($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ($true != ((sK8 @ (sK9 @ sK12)))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f28,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) | ($true = ((sK4 @ sK11))) | ($true = ((sK8 @ sK12))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f29,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) | ($true = ((sK4 @ sK11))) | ($true != ((sK8 @ (sK9 @ sK12)))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f30,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) | ($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ($true = ((sK8 @ sK12))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f31,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) | ($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ($true != ((sK8 @ (sK9 @ sK12)))) | ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 inference(cnf_transformation,[],[f13])).
% 0.36/0.38 thf(f33,definition,(
% 0.36/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.36/0.38 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.36/0.38 thf(f35,definition,(
% 0.36/0.38 spl13_1 <=> ($true = ((sP0 @ sK4 @ sK5)))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition])).
% 0.36/0.38 thf(f37,plain,(
% 0.36/0.38 ($true = ((sP0 @ sK4 @ sK5))) | ~spl13_1),
% 0.36/0.38 inference(avatar_component_clause,[],[f35])).
% 0.36/0.38 thf(f39,definition,(
% 0.36/0.38 spl13_2 <=> ($true = ((sK8 @ sK12)))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition])).
% 0.36/0.38 thf(f41,plain,(
% 0.36/0.38 ($true = ((sK8 @ sK12))) | ~spl13_2),
% 0.36/0.38 inference(avatar_component_clause,[],[f39])).
% 0.36/0.38 thf(f43,definition,(
% 0.36/0.38 spl13_3 <=> ($true = ((sK4 @ sK11)))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition])).
% 0.36/0.38 thf(f45,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK11))) | ~spl13_3),
% 0.36/0.38 inference(avatar_component_clause,[],[f43])).
% 0.36/0.38 thf(f47,definition,(
% 0.36/0.38 spl13_4 <=> ($true = ((sK4 @ sK10)))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition])).
% 0.36/0.38 thf(f49,plain,(
% 0.36/0.38 ($true = ((sK4 @ sK10))) | ~spl13_4),
% 0.36/0.38 inference(avatar_component_clause,[],[f47])).
% 0.36/0.38 thf(f50,plain,(
% 0.36/0.38 spl13_1 | spl13_2 | spl13_3 | spl13_4),
% 0.36/0.38 inference(avatar_split_clause,[],[f24,f47,f43,f39,f35])).
% 0.36/0.38 thf(f52,definition,(
% 0.36/0.38 spl13_5 <=> ($true = ((sK8 @ (sK9 @ sK12))))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition])).
% 0.36/0.38 thf(f54,plain,(
% 0.36/0.38 ($true != ((sK8 @ (sK9 @ sK12)))) | spl13_5),
% 0.36/0.38 inference(avatar_component_clause,[],[f52])).
% 0.36/0.38 thf(f55,plain,(
% 0.36/0.38 spl13_1 | ~spl13_5 | spl13_3 | spl13_4),
% 0.36/0.38 inference(avatar_split_clause,[],[f25,f47,f43,f52,f35])).
% 0.36/0.38 thf(f57,definition,(
% 0.36/0.38 spl13_6 <=> ($true = ((sK8 @ (sK3 @ (sK2 @ sK11)))))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition])).
% 0.36/0.38 thf(f59,plain,(
% 0.36/0.38 ($true != ((sK8 @ (sK3 @ (sK2 @ sK11))))) | spl13_6),
% 0.36/0.38 inference(avatar_component_clause,[],[f57])).
% 0.36/0.38 thf(f60,plain,(
% 0.36/0.38 spl13_1 | spl13_2 | ~spl13_6 | spl13_4),
% 0.36/0.38 inference(avatar_split_clause,[],[f26,f47,f57,f39,f35])).
% 0.36/0.38 thf(f61,plain,(
% 0.36/0.38 spl13_1 | ~spl13_5 | ~spl13_6 | spl13_4),
% 0.36/0.38 inference(avatar_split_clause,[],[f27,f47,f57,f52,f35])).
% 0.36/0.38 thf(f63,definition,(
% 0.36/0.38 spl13_7 <=> (((sK3 @ (sK2 @ (sK5 @ sK10)))) = ((sK9 @ (sK3 @ (sK2 @ sK10)))))),
% 0.36/0.38 introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition])).
% 0.36/0.38 thf(f65,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) != ((sK9 @ (sK3 @ (sK2 @ sK10))))) | spl13_7),
% 0.36/0.38 inference(avatar_component_clause,[],[f63])).
% 0.36/0.38 thf(f66,plain,(
% 0.36/0.38 spl13_1 | spl13_2 | spl13_3 | ~spl13_7),
% 0.36/0.38 inference(avatar_split_clause,[],[f28,f63,f43,f39,f35])).
% 0.36/0.38 thf(f67,plain,(
% 0.36/0.38 spl13_1 | ~spl13_5 | spl13_3 | ~spl13_7),
% 0.36/0.38 inference(avatar_split_clause,[],[f29,f63,f43,f52,f35])).
% 0.36/0.38 thf(f68,plain,(
% 0.36/0.38 spl13_1 | spl13_2 | ~spl13_6 | ~spl13_7),
% 0.36/0.38 inference(avatar_split_clause,[],[f30,f63,f57,f39,f35])).
% 0.36/0.38 thf(f69,plain,(
% 0.36/0.38 spl13_1 | ~spl13_5 | ~spl13_6 | ~spl13_7),
% 0.36/0.38 inference(avatar_split_clause,[],[f31,f63,f57,f52,f35])).
% 0.36/0.38 thf(f70,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK8 @ (sK9 @ sK12)))) | ~spl13_2),
% 0.36/0.38 inference(constrained_superposition,[],[f21,f41])).
% 0.36/0.38 thf(f71,plain,(
% 0.36/0.38 ($true = ((sK8 @ (sK9 @ sK12)))) | ~spl13_2),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f70])).
% 0.36/0.38 thf(f72,plain,(
% 0.36/0.38 $false | (~spl13_2 | spl13_5)),
% 0.36/0.38 inference(forward_subsumption_resolution,[],[f71,f54])).
% 0.36/0.38 thf(f73,plain,(
% 0.36/0.38 ~spl13_2 | spl13_5),
% 0.36/0.38 inference(avatar_contradiction_clause,[],[f72])).
% 0.36/0.38 thf(f74,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK6 @ (sK2 @ sK11)))) | ~spl13_3),
% 0.36/0.38 inference(constrained_superposition,[],[f18,f45])).
% 0.36/0.38 thf(f77,plain,(
% 0.36/0.38 ($true = ((sK6 @ (sK2 @ sK11)))) | ~spl13_3),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f74])).
% 0.36/0.38 thf(f86,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ~spl13_3),
% 0.36/0.38 inference(constrained_superposition,[],[f22,f77])).
% 0.36/0.38 thf(f87,plain,(
% 0.36/0.38 ($true = ((sK8 @ (sK3 @ (sK2 @ sK11))))) | ~spl13_3),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f86])).
% 0.36/0.38 thf(f88,plain,(
% 0.36/0.38 $false | (~spl13_3 | spl13_6)),
% 0.36/0.38 inference(forward_subsumption_resolution,[],[f87,f59])).
% 0.36/0.38 thf(f89,plain,(
% 0.36/0.38 ~spl13_3 | spl13_6),
% 0.36/0.38 inference(avatar_contradiction_clause,[],[f88])).
% 0.36/0.38 thf(f90,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK6 @ (sK2 @ sK10)))) | ~spl13_4),
% 0.36/0.38 inference(constrained_superposition,[],[f18,f49])).
% 0.36/0.38 thf(f93,plain,(
% 0.36/0.38 ($true = ((sK6 @ (sK2 @ sK10)))) | ~spl13_4),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f90])).
% 0.36/0.38 thf(f103,plain,(
% 0.36/0.38 ($true != $true) | (((sK2 @ (sK5 @ sK10))) = ((sK7 @ (sK2 @ sK10)))) | ~spl13_4),
% 0.36/0.38 inference(constrained_superposition,[],[f19,f49])).
% 0.36/0.38 thf(f104,plain,(
% 0.36/0.38 (((sK2 @ (sK5 @ sK10))) = ((sK7 @ (sK2 @ sK10)))) | ~spl13_4),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f103])).
% 0.36/0.38 thf(f114,plain,(
% 0.36/0.38 ($true != $true) | (((sK9 @ (sK3 @ (sK2 @ sK10)))) = ((sK3 @ (sK7 @ (sK2 @ sK10))))) | ~spl13_4),
% 0.36/0.38 inference(constrained_superposition,[],[f23,f93])).
% 0.36/0.38 thf(f115,plain,(
% 0.36/0.38 (((sK9 @ (sK3 @ (sK2 @ sK10)))) = ((sK3 @ (sK7 @ (sK2 @ sK10))))) | ~spl13_4),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f114])).
% 0.36/0.38 thf(f117,plain,(
% 0.36/0.38 (((sK3 @ (sK2 @ (sK5 @ sK10)))) = ((sK9 @ (sK3 @ (sK2 @ sK10))))) | ~spl13_4),
% 0.36/0.38 inference(forward_demodulation,[],[f115,f104])).
% 0.36/0.38 thf(f119,plain,(
% 0.36/0.38 $false | (~spl13_4 | spl13_7)),
% 0.36/0.38 inference(forward_subsumption_resolution,[],[f117,f65])).
% 0.36/0.38 thf(f120,plain,(
% 0.36/0.38 ~spl13_4 | spl13_7),
% 0.36/0.38 inference(avatar_contradiction_clause,[],[f119])).
% 0.36/0.38 thf(f175,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK4 @ (sK1 @ sK4 @ sK5)))) | ~spl13_1),
% 0.36/0.38 inference(constrained_superposition,[],[f14,f37])).
% 0.36/0.38 thf(f178,plain,(
% 0.36/0.38 ($true = ((sK4 @ (sK1 @ sK4 @ sK5)))) | ~spl13_1),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f175])).
% 0.36/0.38 thf(f214,plain,(
% 0.36/0.38 ( ! [X0 : (g > $o),X1 : (g > g)] : (($true != $true) | ($true != ((sP0 @ X0 @ X1))) | ($false = ((X0 @ (X1 @ (sK1 @ X0 @ X1)))))) )),
% 0.36/0.38 inference(constrained_superposition,[],[f15,f33])).
% 0.36/0.38 thf(f216,plain,(
% 0.36/0.38 ( ! [X0 : (g > $o),X1 : (g > g)] : (($true != ((sP0 @ X0 @ X1))) | ($false = ((X0 @ (X1 @ (sK1 @ X0 @ X1)))))) )),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f214])).
% 0.36/0.38 thf(f327,plain,(
% 0.36/0.38 ($true != $true) | ($true = ((sK4 @ (sK5 @ (sK1 @ sK4 @ sK5))))) | ~spl13_1),
% 0.36/0.38 inference(constrained_superposition,[],[f16,f178])).
% 0.36/0.38 thf(f334,plain,(
% 0.36/0.38 ($true = ((sK4 @ (sK5 @ (sK1 @ sK4 @ sK5))))) | ~spl13_1),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f327])).
% 0.36/0.38 thf(f549,plain,(
% 0.36/0.38 ($true != $true) | ($false = ((sK4 @ (sK5 @ (sK1 @ sK4 @ sK5))))) | ~spl13_1),
% 0.36/0.38 inference(constrained_superposition,[],[f216,f37])).
% 0.36/0.38 thf(f552,plain,(
% 0.36/0.38 ($false = ((sK4 @ (sK5 @ (sK1 @ sK4 @ sK5))))) | ~spl13_1),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f549])).
% 0.36/0.38 thf(f802,plain,(
% 0.36/0.38 ($true = $false) | ~spl13_1),
% 0.36/0.38 inference(constrained_superposition,[],[f552,f334])).
% 0.36/0.38 thf(f823,plain,(
% 0.36/0.38 $false | ~spl13_1),
% 0.36/0.38 inference(trivial_inequality_removal,[],[f802])).
% 0.36/0.38 thf(f824,plain,(
% 0.36/0.38 ~spl13_1),
% 0.36/0.38 inference(avatar_contradiction_clause,[],[f823])).
% 0.36/0.38 cnf(s1, plain, spl13_1 | spl13_2 | spl13_3 | spl13_4, inference(sat_conversion,[],[f50])).
% 0.36/0.38 cnf(s2, plain, spl13_1 | spl13_3 | spl13_4 | ~spl13_5, inference(sat_conversion,[],[f55])).
% 0.36/0.38 cnf(s3, plain, spl13_1 | spl13_2 | spl13_4 | ~spl13_6, inference(sat_conversion,[],[f60])).
% 0.36/0.38 cnf(s4, plain, spl13_1 | spl13_4 | ~spl13_5 | ~spl13_6, inference(sat_conversion,[],[f61])).
% 0.36/0.38 cnf(s5, plain, spl13_1 | spl13_2 | spl13_3 | ~spl13_7, inference(sat_conversion,[],[f66])).
% 0.36/0.38 cnf(s6, plain, spl13_1 | spl13_3 | ~spl13_5 | ~spl13_7, inference(sat_conversion,[],[f67])).
% 0.36/0.38 cnf(s7, plain, spl13_1 | spl13_2 | ~spl13_6 | ~spl13_7, inference(sat_conversion,[],[f68])).
% 0.36/0.38 cnf(s8, plain, spl13_1 | ~spl13_5 | ~spl13_6 | ~spl13_7, inference(sat_conversion,[],[f69])).
% 0.36/0.38 cnf(s9, plain, ~spl13_2 | spl13_5, inference(sat_conversion,[],[f73])).
% 0.36/0.38 cnf(s10, plain, ~spl13_3 | spl13_6, inference(sat_conversion,[],[f89])).
% 0.36/0.38 cnf(s11, plain, ~spl13_4 | spl13_7, inference(sat_conversion,[],[f120])).
% 0.36/0.38 cnf(s19, plain, ~spl13_1, inference(sat_conversion,[],[f824])).
% 0.36/0.38 cnf(s20, plain, ~spl13_5 | ~spl13_6 | ~spl13_7, inference(rat,[],[s8,s19])).
% 0.36/0.38 cnf(s21, plain, spl13_2 | ~spl13_6 | ~spl13_7, inference(rat,[],[s7,s19])).
% 0.36/0.38 cnf(s22, plain, spl13_3 | ~spl13_5 | ~spl13_7, inference(rat,[],[s6,s19])).
% 0.36/0.38 cnf(s23, plain, spl13_2 | spl13_3 | ~spl13_7, inference(rat,[],[s5,s19])).
% 0.36/0.38 cnf(s24, plain, spl13_4 | ~spl13_5 | ~spl13_6, inference(rat,[],[s4,s19])).
% 0.36/0.38 cnf(s25, plain, spl13_2 | spl13_4 | ~spl13_6, inference(rat,[],[s3,s19])).
% 0.36/0.38 cnf(s26, plain, spl13_3 | spl13_4 | ~spl13_5, inference(rat,[],[s2,s19])).
% 0.36/0.38 cnf(s27, plain, spl13_2 | spl13_3 | spl13_4, inference(rat,[],[s1,s19])).
% 0.36/0.38 cnf(s28, plain, spl13_3 | spl13_2, inference(rat,[],[s11,s23,s27])).
% 0.36/0.38 cnf(s29, plain, ~spl13_6 | spl13_2, inference(rat,[],[s11,s25,s21])).
% 0.36/0.38 cnf(s30, plain, spl13_2, inference(rat,[],[s29,s10,s28])).
% 0.36/0.38 cnf(s31, plain, spl13_5, inference(rat,[],[s9,s30])).
% 0.36/0.38 cnf(s32, plain, ~spl13_7, inference(rat,[],[s10,s20,s22,s31])).
% 0.36/0.38 cnf(s33, plain, ~spl13_4, inference(rat,[],[s11,s32])).
% 0.36/0.38 cnf(s34, plain, spl13_3, inference(rat,[],[s26,s31,s33])).
% 0.36/0.38 cnf(s35, plain, ~spl13_6, inference(rat,[],[s24,s31,s33])).
% 0.36/0.38 cnf(s36, plain, $false, inference(rat,[],[s10,s35,s34])).
% 0.36/0.38 thf(f826,plain,(
% 0.36/0.38 $false),
% 0.36/0.38 inference(avatar_sat_refutation,[],[s36])).
% 0.36/0.38 % SZS output end Proof for theBenchmark
% 0.36/0.38 % (2212828)------------------------------
% 0.36/0.38 % (2212828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.38 % (2212828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.38 % (2212828)CaDiCaL version: 2.1.3
% 0.36/0.38 % (2212828)Termination reason: Refutation
% 0.36/0.38 % (2212828)Time elapsed: 0.096 s
% 0.36/0.38 % (2212828)Peak memory usage: 14 MB
% 0.36/0.38 % (2212828)Instructions burned: 106 (million)
% 0.36/0.38 % (2212818)Success in time 0.172 s
% 0.36/0.38 % Vampire exiting
%------------------------------------------------------------------------------