%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN632-1 : 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 : n005.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 02:01:08 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 10 unt; 2 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 53 ~; 42 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p21(X0,X1)
| ~ p3(X2,X1)
| ~ p4(X3,X0)
| ~ p21(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_23) ).
fof(f24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_24) ).
fof(f31,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_31) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2)
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_34) ).
fof(f35,negated_conjecture,
! [X0] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
| ~ p21(f5(c22,c23),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3)
| ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_36) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3))
| ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
fof(f41,plain,
! [X0] :
( ~ p21(f5(c22,c23),X0)
| ~ p3(X0,c27) ),
inference(resolution,[],[f35,f34]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ p4(X2,f5(c22,c23))
| ~ p3(X1,X0)
| ~ p3(X0,c27)
| ~ p21(X2,X1) ),
inference(resolution,[],[f41,f23]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ p21(f5(X2,X3),X0)
| ~ p3(X1,c27)
| ~ p3(X0,X1)
| ~ p2(X2,c22)
| ~ p3(X3,c23) ),
inference(resolution,[],[f45,f31]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),X0),X1),X2)
| p3(X1,f14(f16(f18(f20(c29,f12(c25,c26)),X1),X0),X2)) ),
inference(resolution,[],[f38,f33]) ).
fof(f61,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolution,[],[f49,f24]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4] :
( ~ p21(f5(f7(f10(c24,f12(c28,X3)),X2),X4),X1)
| ~ p3(X1,X0)
| ~ p2(X2,c22)
| ~ p3(f14(f16(f18(f20(c29,X3),X4),X2),X1),c23)
| ~ p3(X0,c27) ),
inference(resolution,[],[f48,f36]) ).
fof(f100,definition,
( spl0_4
<=> ! [X0] :
( ~ p3(X0,c27)
| ~ p3(c27,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f101,plain,
( ! [X0] :
( ~ p3(c27,X0)
| ~ p3(X0,c27) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f565,plain,
! [X0] :
( ~ p3(c27,X0)
| ~ p2(c22,c22)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23)
| ~ p3(X0,c27) ),
inference(resolution,[],[f86,f24]) ).
fof(f570,plain,
! [X0] :
( ~ p3(c27,X0)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23)
| ~ p3(X0,c27) ),
inference(forward_subsumption_resolution,[],[f565,f7]) ).
fof(f572,definition,
( spl0_20
<=> p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f573,plain,
( ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23)
| spl0_20 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( ~ spl0_20
| spl0_4 ),
inference(avatar_split_clause,[],[f570,f100,f572]) ).
fof(f578,plain,
( ! [X0] :
( ~ p3(X0,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p3(X0,c23) )
| spl0_20 ),
inference(resolution,[],[f573,f17]) ).
fof(f608,plain,
( ~ p3(c23,c23)
| spl0_20 ),
inference(resolution,[],[f578,f61]) ).
fof(f609,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f608,f6]) ).
fof(f610,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f613,plain,
( ~ p3(c27,c27)
| ~ spl0_4 ),
inference(resolution,[],[f101,f6]) ).
fof(f626,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f613,f6]) ).
fof(f627,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f626]) ).
cnf(s11,plain,
( spl0_4
| ~ spl0_20 ),
inference(sat_conversion,[],[f574]) ).
cnf(s12,plain,
spl0_20,
inference(sat_conversion,[],[f610]) ).
cnf(s14,plain,
~ spl0_4,
inference(sat_conversion,[],[f627]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s11,s12,s14]) ).
fof(f628,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:37:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.20/1.20 % (915824)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20 % (915831)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2829550032:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20 % (915835)dis-21_1_sil=8000:lcm=predicate:random_seed=495922689: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)
% 0.20/1.20 % (915833)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=731807264:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20 % (915832)lrs+10_1_sil=8000:sp=occurrence:random_seed=2649914559:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20 % (915830)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1028265258:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20 % (915834)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=170460854:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20 % (915829)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=2458399829:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20 % (915833)First to succeed.
% 0.20/1.20 % (915833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-915824"
% 0.20/1.20 % (915832)Also succeeded, but the first one will report.
% 0.20/1.20 % (915835)Instruction limit reached!
% 0.20/1.20 % (915835)------------------------------
% 0.20/1.20 % (915835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (915835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (915835)CaDiCaL version: 2.1.3
% 0.20/1.20 % (915835)Termination reason: Instruction limit
% 0.20/1.20 % (915835)Termination phase: Saturation
% 0.20/1.20 % (915835)Time elapsed: 0.068 s
% 0.20/1.20 % (915835)Peak memory usage: 88 MB
% 0.20/1.20 % (915835)Instructions burned: 118 (million)
% 0.20/1.20 % (915834)Instruction limit reached!
% 0.20/1.20 % (915834)------------------------------
% 0.20/1.20 % (915834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (915834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (915834)CaDiCaL version: 2.1.3
% 0.20/1.20 % (915834)Termination reason: Instruction limit
% 0.20/1.20 % (915834)Termination phase: Saturation
% 0.20/1.20 % (915834)Time elapsed: 0.113 s
% 0.20/1.20 % (915834)Peak memory usage: 88 MB
% 0.20/1.20 % (915834)Instructions burned: 180 (million)
% 0.20/1.20 % (915843)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=3857989023:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.20 % (915844)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2794444711: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)
% 0.20/1.20 % (915844)Also succeeded, but the first one will report.
% 0.20/1.20 % (915843)Also succeeded, but the first one will report.
% 0.20/1.20 % (915833)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (915833)------------------------------
% 0.20/1.20 % (915833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (915833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (915833)CaDiCaL version: 2.1.3
% 0.20/1.20 % (915833)Termination reason: Refutation
% 0.20/1.20 % (915833)Time elapsed: 0.025 s
% 0.20/1.20 % (915833)Peak memory usage: 89 MB
% 0.20/1.20 % (915833)Instructions burned: 35 (million)
% 0.20/1.20 % (915833)------------------------------
% 0.20/1.20 % (915833)------------------------------
% 0.20/1.20 % (915824)Success in time 0.436 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------