%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:01:18 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.35s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X0] : p32(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_67) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1] :
( p62(X0,X1)
| ~ p4(X2,X0)
| ~ p62(X2,X3)
| ~ p32(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_69) ).
fof(f82,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_82) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).
fof(f98,negated_conjecture,
! [X2,X3,X0,X1] :
( p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3)
| ~ p62(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_98) ).
fof(f99,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).
fof(f100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_104) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p4(X2,f5(c64,f8(f11(f13(c65,X0),X3),X4)))
| p62(X0,X1)
| ~ p62(X2,X5)
| ~ p32(X5,X1) ),
inference(resolution,[],[f97,f69]) ).
fof(f107,plain,
~ p62(c66,c69),
inference(resolution,[],[f98,f67]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p3(X3,f8(f11(f13(c65,X0),X5),X6))
| ~ p62(f5(X2,X3),X4)
| ~ p32(X4,X1)
| ~ p2(X2,c64)
| p62(X0,X1) ),
inference(resolution,[],[f106,f82]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p62(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),X6)
| ~ p32(X6,X7)
| ~ p2(X0,c64)
| p62(f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5),X7) ),
inference(resolution,[],[f142,f104]) ).
fof(f381,plain,
! [X0] :
( ~ p32(c69,X0)
| ~ p2(c64,c64)
| p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),X0) ),
inference(resolution,[],[f195,f100]) ).
fof(f384,plain,
! [X0] :
( p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),X0)
| ~ p32(c69,X0) ),
inference(forward_subsumption_resolution,[],[f381,f28]) ).
fof(f388,plain,
! [X0] :
( p62(c66,X0)
| ~ p32(c69,X0) ),
inference(resolution,[],[f384,f99]) ).
fof(f431,plain,
~ p32(c69,c69),
inference(resolution,[],[f388,f107]) ).
fof(f468,plain,
$false,
inference(forward_subsumption_resolution,[],[f431,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.23 % Computer : n015.cluster.edu
% 0.13/0.23 % Model : x86_64 x86_64
% 0.13/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.23 % Memory : 8046.5625MB
% 0.13/0.23 % OS : Linux 6.8.0-71-generic
% 0.13/0.23 % CPULimit : 300
% 0.13/0.23 % WCLimit : 300
% 0.13/0.23 % DateTime : Mon Sep 28 16:51:47 UTC 2026
% 0.13/0.23 % CPUTime :
% 0.13/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.27 Running first-order theorem proving
% 0.13/0.27 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/1.35 % (2768576)Input is clausal, will run a generic CNF schedule.
% 3.73/1.35 % (2768671)lrs+10_1_sil=8000:sp=occurrence:random_seed=161344241:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.35 % (2768669)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=979091900:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.35 % (2768671)Instruction limit reached!
% 3.73/1.35 % (2768671)------------------------------
% 3.73/1.35 % (2768671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.35 % (2768671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.35 % (2768671)CaDiCaL version: 2.1.3
% 3.73/1.35 % (2768671)Termination reason: Instruction limit
% 3.73/1.35 % (2768671)Termination phase: Saturation
% 3.73/1.35 % (2768671)Time elapsed: 0.037 s
% 3.73/1.35 % (2768671)Peak memory usage: 89 MB
% 3.73/1.35 % (2768671)Instructions burned: 109 (million)
% 3.73/1.35 % (2768674)dis-21_1_sil=8000:lcm=predicate:random_seed=3149924349: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)
% 3.73/1.35 % (2768670)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1073442262:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.35 % (2768668)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=84326233:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.35 % (2768672)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2030226101:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.35 % (2768673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2081233583:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.35 % (2768672)First to succeed.
% 3.73/1.35 % (2768672)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2768576"
% 3.73/1.35 % (2768673)Also succeeded, but the first one will report.
% 3.73/1.35 % (2768674)Instruction limit reached!
% 3.73/1.35 % (2768674)------------------------------
% 3.73/1.35 % (2768674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.35 % (2768674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.35 % (2768674)CaDiCaL version: 2.1.3
% 3.73/1.35 % (2768674)Termination reason: Instruction limit
% 3.73/1.35 % (2768674)Termination phase: Saturation
% 3.73/1.35 % (2768674)Time elapsed: 0.071 s
% 3.73/1.35 % (2768674)Peak memory usage: 88 MB
% 3.73/1.35 % (2768674)Instructions burned: 118 (million)
% 3.73/1.35 % (2768699)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3551078332:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.73/1.35 % (2768699)Instruction limit reached!
% 3.73/1.35 % (2768699)------------------------------
% 3.73/1.35 % (2768699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.35 % (2768699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.35 % (2768699)CaDiCaL version: 2.1.3
% 3.73/1.35 % (2768699)Termination reason: Instruction limit
% 3.73/1.35 % (2768699)Termination phase: Saturation
% 3.73/1.35 % (2768699)Time elapsed: 0.043 s
% 3.73/1.35 % (2768699)Peak memory usage: 88 MB
% 3.73/1.35 % (2768699)Instructions burned: 145 (million)
% 3.73/1.35 % (2768725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1237883282:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.73/1.35 % (2768725)Also succeeded, but the first one will report.
% 3.73/1.35 % (2768739)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=688134267:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.73/1.35 % (2768739)Also succeeded, but the first one will report.
% 3.73/1.35 % (2768672)Refutation found. Thanks to Tanya!
% 3.73/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.35 % (2768672)------------------------------
% 3.73/1.35 % (2768672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.35 % (2768672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.35 % (2768672)CaDiCaL version: 2.1.3
% 3.73/1.35 % (2768672)Termination reason: Refutation
% 3.73/1.35 % (2768672)Time elapsed: 0.013 s
% 3.73/1.35 % (2768672)Peak memory usage: 88 MB
% 3.73/1.35 % (2768672)Instructions burned: 18 (million)
% 3.73/1.35 % (2768672)------------------------------
% 3.73/1.35 % (2768672)------------------------------
% 3.73/1.35 % (2768576)Success in time 0.438 s
% 3.73/1.35 % Vampire exiting
%------------------------------------------------------------------------------