%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN625-1 : 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 : 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 02:01:07 PM UTC 2026
% Result : Unsatisfiable 3.48s 1.24s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 11 unt; 4 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 35 ~; 38 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p15_1) ).
fof(f8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p15(X0)
| ~ p18(f9(X0),X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_10) ).
fof(f15,negated_conjecture,
! [X0] :
( p15(X0)
| p18(f9(X0),f14(X0),f14(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_15) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ p17(X0,f11(c20))
| ~ p16(f9(c21),X0,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_16) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p16(X0,X1,X2)
| ~ p16(X0,X1,X3)
| ~ p16(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3)
| p18(f9(X0),X1,X3)
| p16(f9(X0),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p17(f12(X0,X3,X4,X1,X2),f11(X4))
| p18(f9(X0),X1,X2)
| ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| p18(f9(X0),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).
fof(f36,plain,
! [X0] : ~ p18(f9(c21),X0,X0),
inference(resolution,[],[f10,f1]) ).
fof(f40,plain,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(resolution,[],[f15,f8]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ p18(f9(f4(f7(X3,c20),X0)),X1,X2)
| p18(f9(X0),X1,X2)
| ~ p16(f9(c21),f12(X0,X3,c20,X1,X2),c19) ),
inference(resolution,[],[f33,f16]) ).
fof(f116,plain,
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21)))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[],[f40,f34]) ).
fof(f117,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
inference(resolution,[],[f40,f32]) ).
fof(f119,definition,
( spl0_1
<=> p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f120,plain,
( p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl0_2
<=> p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f123,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f117,f122,f119]) ).
fof(f126,definition,
( spl0_3
<=> p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f127,plain,
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f116,f126,f122]) ).
fof(f129,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f123,f36]) ).
fof(f134,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f188,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19) ),
inference(resolution,[],[f72,f40]) ).
fof(f194,definition,
( spl0_4
<=> p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f195,plain,
( ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19)
| spl0_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f188,f122,f194]) ).
fof(f199,plain,
( ! [X0] :
( ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),X0)
| ~ p16(f9(c21),X0,c19) )
| spl0_4 ),
inference(resolution,[],[f195,f23]) ).
fof(f202,plain,
( ~ p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19)
| ~ spl0_3
| spl0_4 ),
inference(resolution,[],[f199,f127]) ).
fof(f208,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(resolution,[],[f202,f120]) ).
fof(f213,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f208]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f124]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f128]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f134]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f196]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f213]) ).
cnf(s6,plain,
~ spl0_4,
inference(rat,[],[s4,s3]) ).
cnf(s7,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s8,plain,
~ spl0_1,
inference(rat,[],[s5,s6,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s3,s8]) ).
fof(f214,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:40:27 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 3.48/1.24 % (4002517)Input is clausal, will run a generic CNF schedule.
% 3.48/1.24 % (4002523)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2309489593:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.48/1.24 % (4002526)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=395931227:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.48/1.24 % (4002528)dis-21_1_sil=8000:lcm=predicate:random_seed=3297759264: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)
% 3.48/1.24 % (4002527)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2365596118:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.48/1.24 % (4002522)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=629413993:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.48/1.24 % (4002524)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2603144177:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.48/1.24 % (4002525)lrs+10_1_sil=8000:sp=occurrence:random_seed=1214158462:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.48/1.24 % (4002528)First to succeed.
% 3.48/1.24 % (4002528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4002517"
% 3.48/1.24 % (4002525)Instruction limit reached!
% 3.48/1.24 % (4002525)------------------------------
% 3.48/1.24 % (4002525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.24 % (4002525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.24 % (4002525)CaDiCaL version: 2.1.3
% 3.48/1.24 % (4002525)Termination reason: Instruction limit
% 3.48/1.24 % (4002525)Termination phase: Saturation
% 3.48/1.24 % (4002525)Time elapsed: 0.068 s
% 3.48/1.24 % (4002525)Peak memory usage: 88 MB
% 3.48/1.24 % (4002525)Instructions burned: 107 (million)
% 3.48/1.24 % (4002526)Instruction limit reached!
% 3.48/1.24 % (4002526)------------------------------
% 3.48/1.24 % (4002526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.24 % (4002526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.24 % (4002526)CaDiCaL version: 2.1.3
% 3.48/1.24 % (4002526)Termination reason: Instruction limit
% 3.48/1.24 % (4002526)Termination phase: Saturation
% 3.48/1.24 % (4002526)Time elapsed: 0.072 s
% 3.48/1.24 % (4002526)Peak memory usage: 88 MB
% 3.48/1.24 % (4002526)Instructions burned: 115 (million)
% 3.48/1.24 % (4002527)Instruction limit reached!
% 3.48/1.24 % (4002527)------------------------------
% 3.48/1.24 % (4002527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.24 % (4002527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.24 % (4002527)CaDiCaL version: 2.1.3
% 3.48/1.24 % (4002527)Termination reason: Instruction limit
% 3.48/1.24 % (4002527)Termination phase: Saturation
% 3.48/1.24 % (4002527)Time elapsed: 0.111 s
% 3.48/1.24 % (4002527)Peak memory usage: 88 MB
% 3.48/1.24 % (4002527)Instructions burned: 180 (million)
% 3.48/1.24 % (4002536)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=3267199800:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.48/1.24 % (4002537)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=78969379: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)
% 3.48/1.24 % (4002537)Also succeeded, but the first one will report.
% 3.48/1.24 % (4002538)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1410870648:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.48/1.24 % (4002528)Refutation found. Thanks to Tanya!
% 3.48/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.24 % (4002528)------------------------------
% 3.48/1.24 % (4002528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.24 % (4002528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.24 % (4002528)CaDiCaL version: 2.1.3
% 3.48/1.24 % (4002528)Termination reason: Refutation
% 3.48/1.24 % (4002528)Time elapsed: 0.007 s
% 3.48/1.24 % (4002528)Peak memory usage: 89 MB
% 3.48/1.24 % (4002528)Instructions burned: 7 (million)
% 3.48/1.24 % (4002528)------------------------------
% 3.48/1.24 % (4002528)------------------------------
% 3.48/1.24 % (4002517)Success in time 0.406 s
% 3.48/1.24 % Vampire exiting
%------------------------------------------------------------------------------