%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 2.61s 1.16s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 43 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).
fof(f23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p19(X0,X1)
| ~ p19(X2,X3)
| ~ p2(X2,X0)
| ~ p10(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_24) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p12(f14(X0,X1),f14(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f13(X0,X1),f13(X2,X3))
| ~ p12(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p10(f11(X0,X1,X2),f11(X3,X4,X5))
| ~ p2(X0,X3)
| ~ p9(X1,X4)
| ~ p10(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).
fof(f31,plain,
! [X0,X1] :
( ~ p10(X1,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25))
| ~ p2(X0,c21)
| ~ p19(X0,X1) ),
inference(resolution,[],[f24,f23]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( ~ p2(X1,f13(f15(c21),f14(f4(c21),c23)))
| ~ p19(X0,f11(X1,X2,X3))
| ~ p2(X0,c21)
| ~ p9(X2,c24)
| ~ p10(X3,c25) ),
inference(resolution,[],[f31,f30]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] :
( ~ p19(X0,f11(f13(X1,X2),X3,X4))
| ~ p2(X0,c21)
| ~ p9(X3,c24)
| ~ p10(X4,c25)
| ~ p12(X2,f14(f4(c21),c23))
| ~ p3(X1,f15(c21)) ),
inference(resolution,[],[f38,f28]) ).
fof(f113,plain,
( ~ p2(c21,c21)
| ~ p9(c24,c24)
| ~ p10(c25,c25)
| ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p3(f15(c21),f15(c21)) ),
inference(resolution,[],[f60,f22]) ).
fof(f115,plain,
( ~ p9(c24,c24)
| ~ p10(c25,c25)
| ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p3(f15(c21),f15(c21)) ),
inference(forward_subsumption_resolution,[],[f113,f4]) ).
fof(f116,plain,
( ~ p10(c25,c25)
| ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p3(f15(c21),f15(c21)) ),
inference(forward_subsumption_resolution,[],[f115,f2]) ).
fof(f117,plain,
( ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p3(f15(c21),f15(c21)) ),
inference(forward_subsumption_resolution,[],[f116,f1]) ).
fof(f118,plain,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(forward_subsumption_resolution,[],[f117,f3]) ).
fof(f119,plain,
( ~ p3(f4(c21),f4(c21))
| ~ p3(c22,c23) ),
inference(resolution,[],[f118,f27]) ).
fof(f121,plain,
~ p3(c22,c23),
inference(forward_subsumption_resolution,[],[f119,f3]) ).
fof(f122,plain,
$false,
inference(forward_subsumption_resolution,[],[f121,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n026.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Mon Sep 28 16:35:57 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running first-order theorem proving
% 0.11/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/1.16 % (3998616)Input is clausal, will run a generic CNF schedule.
% 2.61/1.16 % (3998721)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3121485060:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.16 % (3998721)First to succeed.
% 2.61/1.16 % (3998721)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3998616"
% 2.61/1.16 % (3998718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2391435026:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.16 % (3998722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4222241116:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.16 % (3998717)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=154781286:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.16 % (3998722)Also succeeded, but the first one will report.
% 2.61/1.16 % (3998720)lrs+10_1_sil=8000:sp=occurrence:random_seed=3993141334:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.16 % (3998719)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2986574411:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.16 % (3998724)dis-21_1_sil=8000:lcm=predicate:random_seed=3618710849:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.61/1.16 % (3998724)Also succeeded, but the first one will report.
% 2.61/1.16 % (3998720)Instruction limit reached!
% 2.61/1.16 % (3998720)------------------------------
% 2.61/1.16 % (3998720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.16 % (3998720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.16 % (3998720)CaDiCaL version: 2.1.3
% 2.61/1.16 % (3998720)Termination reason: Instruction limit
% 2.61/1.16 % (3998720)Termination phase: Saturation
% 2.61/1.16 % (3998720)Time elapsed: 0.060 s
% 2.61/1.16 % (3998720)Peak memory usage: 89 MB
% 2.61/1.16 % (3998720)Instructions burned: 108 (million)
% 2.61/1.16 % (3998721)Refutation found. Thanks to Tanya!
% 2.61/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.16 % (3998721)------------------------------
% 2.61/1.16 % (3998721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.16 % (3998721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.16 % (3998721)CaDiCaL version: 2.1.3
% 2.61/1.16 % (3998721)Termination reason: Refutation
% 2.61/1.16 % (3998721)Time elapsed: 0.003 s
% 2.61/1.16 % (3998721)Peak memory usage: 87 MB
% 2.61/1.16 % (3998721)Instructions burned: 5 (million)
% 2.61/1.16 % (3998721)------------------------------
% 2.61/1.16 % (3998721)------------------------------
% 2.61/1.16 % (3998616)Success in time 0.266 s
% 2.61/1.16 % Vampire exiting
%------------------------------------------------------------------------------