%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN612-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 02:17:43 PM UTC 2026
% Result : Unsatisfiable 4.28s 0.98s
% Output : Refutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p17(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p17(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
fof(f22,negated_conjecture,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f10(X0,X1),f10(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
fof(f28,negated_conjecture,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).
fof(f29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
fof(f51,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f19,f4]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( p3(f10(X1,X3),f10(X0,X2))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[],[f24,f51]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),X0)
| ~ p2(f6(f7(f8(c20))),X1)
| p17(X0,X1) ),
inference(resolution,[],[f29,f20]) ).
fof(f150,plain,
! [X0,X1] :
( ~ p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),X1)
| p17(f9(X1),X0)
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[],[f87,f12]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ p3(X0,f14(f4(f9(c19)),c19))
| ~ p2(f6(f7(f8(c20))),X2)
| ~ p3(X1,f4(f6(f7(f8(c20)))))
| p17(f9(f10(X0,X1)),X2) ),
inference(resolution,[],[f150,f77]) ).
fof(f2013,plain,
! [X0,X1] :
( p17(f9(f10(f14(f4(f9(c19)),c19),X1)),X0)
| ~ p3(X1,f4(f6(f7(f8(c20)))))
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[],[f351,f4]) ).
fof(f20431,plain,
! [X0] :
( ~ p3(f12(X0,c21),f4(f6(f7(f8(c20)))))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(resolution,[],[f2013,f28]) ).
fof(f20433,plain,
! [X0] : ~ p3(f12(X0,c21),f4(f6(f7(f8(c20))))),
inference(forward_subsumption_resolution,[],[f20431,f2]) ).
fof(f20649,plain,
$false,
inference(backward_subsumption_resolution,[],[f22,f20433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN612-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:36:54 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 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
% 4.28/0.98 % (2386187)Will run a generic schedule for satisfiability detection.
% 4.28/0.98 % (2386192)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3059931957_2999 on theBenchmark for (2999ds/0Mi)
% 4.28/0.98 % TRYING [1]
% 4.28/0.98 % TRYING [2]
% 4.28/0.98 % TRYING [3]
% 4.28/0.98 % (2386193)% WARNING: option uhcvi not known.
% 4.28/0.98 % (2386194)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3708749834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.28/0.98 % (2386198)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2084005448:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.28/0.98 % (2386193)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=74977428:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.28/0.98 % (2386195)dis+10_1_sil=32000:sp=arity:random_seed=1416220627:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.28/0.98 % (2386196)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4145678200:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.28/0.98 % (2386197)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4153780453:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.28/0.98 % TRYING [4]
% 4.28/0.98 % (2386195)Instruction limit reached!
% 4.28/0.98 % (2386195)------------------------------
% 4.28/0.98 % (2386195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386195)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386195)Termination reason: Instruction limit
% 4.28/0.98 % (2386195)Termination phase: Saturation
% 4.28/0.98 % (2386195)Time elapsed: 0.105 s
% 4.28/0.98 % (2386195)Peak memory usage: 11 MB
% 4.28/0.98 % (2386195)Instructions burned: 103 (million)
% 4.28/0.98 % (2386196)Instruction limit reached!
% 4.28/0.98 % (2386196)------------------------------
% 4.28/0.98 % (2386196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386196)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386196)Termination reason: Instruction limit
% 4.28/0.98 % (2386196)Termination phase: Saturation
% 4.28/0.98 % (2386196)Time elapsed: 0.105 s
% 4.28/0.98 % (2386196)Peak memory usage: 12 MB
% 4.28/0.98 % (2386196)Instructions burned: 116 (million)
% 4.28/0.98 % (2386197)Instruction limit reached!
% 4.28/0.98 % (2386197)------------------------------
% 4.28/0.98 % (2386197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386197)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386197)Termination reason: Instruction limit
% 4.28/0.98 % (2386197)Termination phase: Saturation
% 4.28/0.98 % (2386197)Time elapsed: 0.126 s
% 4.28/0.98 % (2386197)Peak memory usage: 15 MB
% 4.28/0.98 % (2386197)Instructions burned: 131 (million)
% 4.28/0.98 % (2386206)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=310436085:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.28/0.98 % (2386207)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1635036324:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.28/0.98 % TRYING [1]
% 4.28/0.98 % TRYING [2]
% 4.28/0.98 % TRYING [3]
% 4.28/0.98 % (2386198)Instruction limit reached!
% 4.28/0.98 % (2386198)------------------------------
% 4.28/0.98 % (2386198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386198)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386198)Termination reason: Instruction limit
% 4.28/0.98 % (2386198)Termination phase: Saturation
% 4.28/0.98 % (2386198)Time elapsed: 0.172 s
% 4.28/0.98 % (2386198)Peak memory usage: 13 MB
% 4.28/0.98 % (2386198)Instructions burned: 159 (million)
% 4.28/0.98 % (2386208)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=2886891044:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.28/0.98 % TRYING [4]
% 4.28/0.98 % (2386211)ott-21_1_sil=16000:fs=off:random_seed=3680349868:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 4.28/0.98 % TRYING [5]
% 4.28/0.98 % (2386207)Instruction limit reached!
% 4.28/0.98 % (2386207)------------------------------
% 4.28/0.98 % (2386207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386207)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386207)Termination reason: Instruction limit
% 4.28/0.98 % (2386207)Termination phase: Saturation
% 4.28/0.98 % (2386207)Time elapsed: 0.133 s
% 4.28/0.98 % (2386207)Peak memory usage: 15 MB
% 4.28/0.98 % (2386207)Instructions burned: 131 (million)
% 4.28/0.98 % (2386214)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3513592559:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.28/0.98 % (2386211)Instruction limit reached!
% 4.28/0.98 % (2386211)------------------------------
% 4.28/0.98 % (2386211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386211)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386211)Termination reason: Instruction limit
% 4.28/0.98 % (2386211)Termination phase: Saturation
% 4.28/0.98 % (2386211)Time elapsed: 0.142 s
% 4.28/0.98 % (2386211)Peak memory usage: 12 MB
% 4.28/0.98 % (2386211)Instructions burned: 182 (million)
% 4.28/0.98 % (2386216)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3236667652:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 4.28/0.98 % TRYING [1]
% 4.28/0.98 % TRYING [2]
% 4.28/0.98 % TRYING [3]
% 4.28/0.98 % TRYING [4]
% 4.28/0.98 % (2386214)Instruction limit reached!
% 4.28/0.98 % (2386214)------------------------------
% 4.28/0.98 % (2386214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386214)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386214)Termination reason: Instruction limit
% 4.28/0.98 % (2386214)Termination phase: Saturation
% 4.28/0.98 % (2386214)Time elapsed: 0.154 s
% 4.28/0.98 % (2386214)Peak memory usage: 14 MB
% 4.28/0.98 % (2386214)Instructions burned: 478 (million)
% 4.28/0.98 % (2386257)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2774822948:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 4.28/0.98 % TRYING [5]
% 4.28/0.98 % TRYING [5]
% 4.28/0.98 % (2386206)Instruction limit reached!
% 4.28/0.98 % (2386206)------------------------------
% 4.28/0.98 % (2386206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386206)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386206)Termination reason: Instruction limit
% 4.28/0.98 % (2386206)Termination phase: Finite model building SAT solving
% 4.28/0.98 % (2386206)Time elapsed: 0.459 s
% 4.28/0.98 % (2386206)Peak memory usage: 15 MB
% 4.28/0.98 % (2386206)Instructions burned: 715 (million)
% 4.28/0.98 % (2386208)Instruction limit reached!
% 4.28/0.98 % (2386208)------------------------------
% 4.28/0.98 % (2386208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386208)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386208)Termination reason: Instruction limit
% 4.28/0.98 % (2386208)Termination phase: Saturation
% 4.28/0.98 % (2386208)Time elapsed: 0.439 s
% 4.28/0.98 % (2386208)Peak memory usage: 16 MB
% 4.28/0.98 % (2386208)Instructions burned: 684 (million)
% 4.28/0.98 % (2386293)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=208631909:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 4.28/0.98 % (2386294)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=2446219866:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 4.28/0.98 % TRYING [14]
% 4.28/0.98 % (2386193) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2386187-2386193"...
% 4.28/0.98 % (2386193)...printing done.
% 4.28/0.98 % (2386193)Refutation found. Thanks to Tanya!
% 4.28/0.98 % SZS status Unsatisfiable for theBenchmark
% 4.28/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 4.28/0.98 % (2386193)------------------------------
% 4.28/0.98 % (2386193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.28/0.98 % (2386193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/0.98 % (2386193)CaDiCaL version: 2.1.3
% 4.28/0.98 % (2386193)Termination reason: Refutation
% 4.28/0.98 % (2386193)Time elapsed: 0.676 s
% 4.28/0.98 % (2386193)Peak memory usage: 18 MB
% 4.28/0.98 % (2386193)Instructions burned: 1085 (million)
% 4.28/0.98 % (2386187)Success in time 0.729 s
% 4.28/0.98 % Vampire exiting
%------------------------------------------------------------------------------