%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN603-1 : 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 : n006.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 3.56s 1.25s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 14 unt; 4 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 44 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).
fof(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(c16)),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1))
| ~ p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).
fof(f36,plain,
! [X0] :
( ~ p2(c22,f9(c20,X0))
| ~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17)) ),
inference(resolution,[],[f26,f3]) ).
fof(f39,definition,
( spl0_1
<=> p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f40,plain,
( ~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17))
| spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,definition,
( spl0_2
<=> ! [X0] : ~ p2(c22,f9(c20,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f43,plain,
( ! [X0] : ~ p2(c22,f9(c20,X0))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f36,f42,f39]) ).
fof(f45,plain,
( ! [X0] :
( ~ p2(X0,f6(f5(f4(c16)),c17))
| ~ p2(X0,f7(f8(c21,c22),c20)) )
| spl0_1 ),
inference(resolution,[],[f40,f14]) ).
fof(f47,plain,
( ! [X0,X1] :
( ~ p2(X0,f7(f8(c21,c22),c20))
| ~ p2(X1,X0)
| ~ p2(X1,f6(f5(f4(c16)),c17)) )
| spl0_1 ),
inference(resolution,[],[f45,f14]) ).
fof(f64,plain,
( ! [X0] :
( ~ p2(X0,f7(f8(c21,c22),c20))
| ~ p2(f6(f5(f4(c16)),c17),X0) )
| spl0_1 ),
inference(resolution,[],[f47,f2]) ).
fof(f68,plain,
( ! [X0,X1] :
( ~ p2(f6(f5(f4(c16)),c17),X0)
| ~ p2(X1,X0)
| ~ p2(X1,f7(f8(c21,c22),c20)) )
| spl0_1 ),
inference(resolution,[],[f64,f14]) ).
fof(f89,plain,
( ! [X0] :
( ~ p2(f6(f5(f4(c16)),c17),X0)
| ~ p2(f7(f8(c21,c22),c20),X0) )
| spl0_1 ),
inference(resolution,[],[f68,f2]) ).
fof(f109,plain,
( ! [X0,X1] :
( ~ p2(f7(f8(c21,c22),c20),f6(X0,X1))
| ~ p2(f5(f4(c16)),X0)
| ~ p2(c17,X1) )
| spl0_1 ),
inference(resolution,[],[f89,f21]) ).
fof(f153,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(c17,f3(f4(c16)))
| spl0_1 ),
inference(resolution,[],[f109,f19]) ).
fof(f156,definition,
( spl0_3
<=> p2(c17,f3(f4(c16))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f157,plain,
( ~ p2(c17,f3(f4(c16)))
| spl0_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,definition,
( spl0_4
<=> p2(f5(f4(c16)),f5(f4(c16))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f160,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| spl0_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f153,f39,f159,f156]) ).
fof(f175,plain,
( ! [X0] :
( ~ p2(X0,f3(f4(c16)))
| ~ p2(X0,c17) )
| spl0_3 ),
inference(resolution,[],[f157,f14]) ).
fof(f218,plain,
( ~ p2(f3(f4(c16)),c17)
| spl0_3 ),
inference(resolution,[],[f175,f2]) ).
fof(f230,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f218,f6]) ).
fof(f232,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f273,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f160,f2]) ).
fof(f276,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f277,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f43,f5]) ).
fof(f279,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f277]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f161]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f232]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f276]) ).
cnf(s7,plain,
~ spl0_2,
inference(sat_conversion,[],[f279]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s2,s6,s4]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s7,s8]) ).
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n006.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 16:34:55 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.56/1.25 % (4100777)Input is clausal, will run a generic CNF schedule.
% 3.56/1.25 % (4100785)lrs+10_1_sil=8000:sp=occurrence:random_seed=2805477793:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.25 % (4100785)Instruction limit reached!
% 3.56/1.25 % (4100785)------------------------------
% 3.56/1.25 % (4100785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (4100785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (4100785)CaDiCaL version: 2.1.3
% 3.56/1.25 % (4100785)Termination reason: Instruction limit
% 3.56/1.25 % (4100785)Termination phase: Saturation
% 3.56/1.25 % (4100785)Time elapsed: 0.035 s
% 3.56/1.25 % (4100785)Peak memory usage: 89 MB
% 3.56/1.25 % (4100785)Instructions burned: 108 (million)
% 3.56/1.25 % (4100783)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2251186788:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.25 % (4100786)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1849452749:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.25 % (4100784)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1068062999:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.25 % (4100782)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=3829777801:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.25 % (4100788)dis-21_1_sil=8000:lcm=predicate:random_seed=3459318978: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)
% 3.56/1.25 % (4100787)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=176216489:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.25 % (4100788)First to succeed.
% 3.56/1.25 % (4100788)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4100777"
% 3.56/1.25 % (4100787)Also succeeded, but the first one will report.
% 3.56/1.25 % (4100786)Instruction limit reached!
% 3.56/1.25 % (4100786)------------------------------
% 3.56/1.25 % (4100786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (4100786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (4100786)CaDiCaL version: 2.1.3
% 3.56/1.25 % (4100786)Termination reason: Instruction limit
% 3.56/1.25 % (4100786)Termination phase: Saturation
% 3.56/1.25 % (4100786)Time elapsed: 0.075 s
% 3.56/1.25 % (4100786)Peak memory usage: 88 MB
% 3.56/1.25 % (4100786)Instructions burned: 115 (million)
% 3.56/1.25 % (4100790)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=2776770562:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.56/1.25 % (4100790)Instruction limit reached!
% 3.56/1.25 % (4100790)------------------------------
% 3.56/1.25 % (4100790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (4100790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (4100790)CaDiCaL version: 2.1.3
% 3.56/1.25 % (4100790)Termination reason: Instruction limit
% 3.56/1.25 % (4100790)Termination phase: Saturation
% 3.56/1.25 % (4100790)Time elapsed: 0.047 s
% 3.56/1.25 % (4100790)Peak memory usage: 89 MB
% 3.56/1.25 % (4100790)Instructions burned: 143 (million)
% 3.56/1.25 % (4100798)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1077384767: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)
% 3.56/1.25 % (4100799)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2129944929:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.56/1.25 % (4100788)Refutation found. Thanks to Tanya!
% 3.56/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.25 % (4100788)------------------------------
% 3.56/1.25 % (4100788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (4100788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (4100788)CaDiCaL version: 2.1.3
% 3.56/1.25 % (4100788)Termination reason: Refutation
% 3.56/1.25 % (4100788)Time elapsed: 0.008 s
% 3.56/1.25 % (4100788)Peak memory usage: 89 MB
% 3.56/1.25 % (4100788)Instructions burned: 11 (million)
% 3.56/1.25 % (4100788)------------------------------
% 3.56/1.25 % (4100788)------------------------------
% 3.56/1.25 % (4100777)Success in time 0.414 s
% 3.56/1.25 % Vampire exiting
%------------------------------------------------------------------------------