%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN627-1 : 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 : 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 : Tue Sep 29 02:01:07 PM UTC 2026
% Result : Unsatisfiable 3.94s 1.37s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 37 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f6,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_7) ).
fof(f8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
fof(f20,negated_conjecture,
! [X0] :
( p3(c24,f4(f7(c17,X0),f14(X0)))
| ~ p15(X0,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
fof(f23,negated_conjecture,
! [X0] :
( p16(c17,c20,f9(c19,X0),f14(X0),c25)
| ~ p15(X0,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
fof(f45,plain,
! [X0] :
( ~ p3(X0,c24)
| ~ p3(X0,c23) ),
inference(resolution,[],[f18,f8]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p3(X1,c24)
| ~ p3(X1,X0)
| ~ p3(X0,c23) ),
inference(resolution,[],[f45,f18]) ).
fof(f49,plain,
! [X0] :
( ~ p3(X0,c23)
| ~ p3(c24,X0) ),
inference(resolution,[],[f47,f5]) ).
fof(f53,plain,
! [X0,X1] :
( ~ p3(X1,c23)
| ~ p3(X1,X0)
| ~ p3(c24,X0) ),
inference(resolution,[],[f49,f18]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ p3(X2,c23)
| ~ p3(c24,X1)
| ~ p3(X2,X0)
| ~ p3(X0,X1) ),
inference(resolution,[],[f53,f18]) ).
fof(f72,plain,
! [X0,X1] :
( ~ p16(c17,c20,f9(c19,c18),X0,X1)
| p3(c21,X0) ),
inference(resolution,[],[f28,f10]) ).
fof(f81,plain,
( p3(c21,f14(c18))
| ~ p15(c18,c19) ),
inference(resolution,[],[f72,f23]) ).
fof(f82,plain,
p3(c21,f14(c18)),
inference(forward_subsumption_resolution,[],[f81,f7]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p3(c24,X0)
| ~ p3(c23,X1)
| ~ p3(X1,X0) ),
inference(resolution,[],[f55,f5]) ).
fof(f89,plain,
! [X0,X1] :
( ~ p15(X1,c19)
| ~ p3(X0,f4(f7(c17,X1),f14(X1)))
| ~ p3(c23,X0) ),
inference(resolution,[],[f84,f20]) ).
fof(f975,plain,
! [X0] :
( ~ p3(c23,X0)
| ~ p3(X0,f4(f7(c17,c18),f14(c18))) ),
inference(resolution,[],[f89,f7]) ).
fof(f979,plain,
~ p3(f4(f7(c17,c18),c21),f4(f7(c17,c18),f14(c18))),
inference(resolution,[],[f975,f9]) ).
fof(f988,plain,
( ~ p2(f7(c17,c18),f7(c17,c18))
| ~ p3(c21,f14(c18)) ),
inference(resolution,[],[f979,f27]) ).
fof(f990,plain,
~ p3(c21,f14(c18)),
inference(forward_subsumption_resolution,[],[f988,f6]) ).
fof(f991,plain,
$false,
inference(forward_subsumption_resolution,[],[f990,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:37:06 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.94/1.37 % (1315297)Input is clausal, will run a generic CNF schedule.
% 3.94/1.37 % (1315389)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1341244018:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.94/1.37 % (1315390)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3633700388:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.94/1.37 % (1315386)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2471606451:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.94/1.37 % (1315393)dis-21_1_sil=8000:lcm=predicate:random_seed=3634318482: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)
% 3.94/1.37 % (1315385)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=717524665:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.94/1.37 % (1315387)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=578844773:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.94/1.37 % (1315388)lrs+10_1_sil=8000:sp=occurrence:random_seed=404482490:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.94/1.37 % (1315390)First to succeed.
% 3.94/1.37 % (1315390)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1315297"
% 3.94/1.37 % (1315393)Instruction limit reached!
% 3.94/1.37 % (1315393)------------------------------
% 3.94/1.37 % (1315393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.37 % (1315393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.37 % (1315393)CaDiCaL version: 2.1.3
% 3.94/1.37 % (1315393)Termination reason: Instruction limit
% 3.94/1.37 % (1315393)Termination phase: Saturation
% 3.94/1.37 % (1315393)Time elapsed: 0.068 s
% 3.94/1.37 % (1315393)Peak memory usage: 88 MB
% 3.94/1.37 % (1315393)Instructions burned: 117 (million)
% 3.94/1.37 % (1315389)Instruction limit reached!
% 3.94/1.37 % (1315389)------------------------------
% 3.94/1.37 % (1315389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.37 % (1315389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.37 % (1315389)CaDiCaL version: 2.1.3
% 3.94/1.37 % (1315389)Termination reason: Instruction limit
% 3.94/1.37 % (1315389)Termination phase: Saturation
% 3.94/1.37 % (1315389)Time elapsed: 0.073 s
% 3.94/1.37 % (1315389)Peak memory usage: 88 MB
% 3.94/1.37 % (1315389)Instructions burned: 114 (million)
% 3.94/1.37 % (1315388)Instruction limit reached!
% 3.94/1.37 % (1315388)------------------------------
% 3.94/1.37 % (1315388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.37 % (1315388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.37 % (1315388)CaDiCaL version: 2.1.3
% 3.94/1.37 % (1315388)Termination reason: Instruction limit
% 3.94/1.37 % (1315388)Termination phase: Saturation
% 3.94/1.37 % (1315388)Time elapsed: 0.071 s
% 3.94/1.37 % (1315388)Peak memory usage: 89 MB
% 3.94/1.37 % (1315388)Instructions burned: 113 (million)
% 3.94/1.37 % (1315446)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=1018730793:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.94/1.37 % (1315447)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3173373730: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)
% 3.94/1.37 % (1315448)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4194557029:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.94/1.37 % (1315390)Refutation found. Thanks to Tanya!
% 3.94/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.94/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.37 % (1315390)------------------------------
% 3.94/1.37 % (1315390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.37 % (1315390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.37 % (1315390)CaDiCaL version: 2.1.3
% 3.94/1.37 % (1315390)Termination reason: Refutation
% 3.94/1.37 % (1315390)Time elapsed: 0.047 s
% 3.94/1.37 % (1315390)Peak memory usage: 89 MB
% 3.94/1.37 % (1315390)Instructions burned: 71 (million)
% 3.94/1.37 % (1315390)------------------------------
% 3.94/1.37 % (1315390)------------------------------
% 3.94/1.37 % (1315297)Success in time 0.476 s
% 3.94/1.37 % Vampire exiting
%------------------------------------------------------------------------------