%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN686-1 : 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 : 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 02:01:15 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.27s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 15 unt; 2 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 38 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
fof(f20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_20) ).
fof(f21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_21) ).
fof(f22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p30_22) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( p30(X0,X1)
| ~ p4(X2,X1)
| ~ p9(X3,X0)
| ~ p30(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p4(X1,X3)
| ~ p8(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_41) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_50) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( p8(f12(X0,X1),f12(X2,X3))
| ~ p11(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_51) ).
fof(f59,plain,
! [X0,X1] :
( ~ p4(X0,c41)
| ~ p9(X1,f10(f12(c39,f7(c33,c34)),c35))
| ~ p30(X1,X0) ),
inference(resolution,[],[f39,f22]) ).
fof(f60,plain,
! [X0] :
( ~ p30(X0,c41)
| ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35)) ),
inference(resolution,[],[f59,f5]) ).
fof(f63,plain,
~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35)),
inference(resolution,[],[f60,f21]) ).
fof(f65,plain,
( ~ p4(c37,c35)
| ~ p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
inference(resolution,[],[f63,f41]) ).
fof(f68,definition,
( spl0_1
<=> p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
| spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl0_2
<=> p4(c37,c35) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ~ p4(c37,c35)
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f65,f72,f68]) ).
fof(f77,plain,
( ~ p11(c39,c39)
| ~ p3(c36,f7(c33,c34))
| spl0_1 ),
inference(resolution,[],[f70,f51]) ).
fof(f79,plain,
( ~ p3(c36,f7(c33,c34))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f77,f1]) ).
fof(f80,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f79,f17]) ).
fof(f81,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f82,plain,
( ! [X0] :
( ~ p4(X0,c35)
| ~ p4(X0,c37) )
| spl0_2 ),
inference(resolution,[],[f74,f27]) ).
fof(f85,plain,
( ~ p4(f5(c32,f7(c33,c34)),c37)
| spl0_2 ),
inference(resolution,[],[f82,f20]) ).
fof(f106,plain,
( ! [X0] :
( ~ p4(X0,c37)
| ~ p4(X0,f5(c32,f7(c33,c34))) )
| spl0_2 ),
inference(resolution,[],[f85,f27]) ).
fof(f140,plain,
( ~ p4(f5(c32,c36),f5(c32,f7(c33,c34)))
| spl0_2 ),
inference(resolution,[],[f106,f19]) ).
fof(f158,plain,
( ~ p2(c32,c32)
| ~ p3(c36,f7(c33,c34))
| spl0_2 ),
inference(resolution,[],[f140,f50]) ).
fof(f160,plain,
( ~ p3(c36,f7(c33,c34))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f158,f12]) ).
fof(f161,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f160,f17]) ).
fof(f162,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f161]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f75]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
spl0_2,
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s2]) ).
fof(f163,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 % Computer : n015.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Mon Sep 28 16:49:17 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.23 Running first-order theorem proving
% 0.13/0.23 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
% 3.57/1.27 % (2765964)Input is clausal, will run a generic CNF schedule.
% 3.57/1.27 % (2766054)dis-21_1_sil=8000:lcm=predicate:random_seed=219033065: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)
% 3.57/1.27 % (2766051)lrs+10_1_sil=8000:sp=occurrence:random_seed=3733467872:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.27 % (2766047)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=1291463296:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.27 % (2766048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1642957786:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.27 % (2766049)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2322869077:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.27 % (2766054)Instruction limit reached!
% 3.57/1.27 % (2766054)------------------------------
% 3.57/1.27 % (2766054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.27 % (2766054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.27 % (2766054)CaDiCaL version: 2.1.3
% 3.57/1.27 % (2766054)Termination reason: Instruction limit
% 3.57/1.27 % (2766054)Termination phase: Saturation
% 3.57/1.27 % (2766054)Time elapsed: 0.041 s
% 3.57/1.27 % (2766054)Peak memory usage: 88 MB
% 3.57/1.27 % (2766054)Instructions burned: 117 (million)
% 3.57/1.27 % (2766053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3058254488:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.27 % (2766052)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3611114761:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.27 % (2766053)First to succeed.
% 3.57/1.27 % (2766053)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2765964"
% 3.57/1.27 % (2766052)Also succeeded, but the first one will report.
% 3.57/1.27 % (2766051)Instruction limit reached!
% 3.57/1.27 % (2766051)------------------------------
% 3.57/1.27 % (2766051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.27 % (2766051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.27 % (2766051)CaDiCaL version: 2.1.3
% 3.57/1.27 % (2766051)Termination reason: Instruction limit
% 3.57/1.27 % (2766051)Termination phase: Saturation
% 3.57/1.27 % (2766051)Time elapsed: 0.070 s
% 3.57/1.27 % (2766051)Peak memory usage: 89 MB
% 3.57/1.27 % (2766051)Instructions burned: 108 (million)
% 3.57/1.27 % (2766081)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=3751542494:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.57/1.27 % (2766081)Instruction limit reached!
% 3.57/1.27 % (2766081)------------------------------
% 3.57/1.27 % (2766081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.27 % (2766081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.27 % (2766081)CaDiCaL version: 2.1.3
% 3.57/1.27 % (2766081)Termination reason: Instruction limit
% 3.57/1.27 % (2766081)Termination phase: Saturation
% 3.57/1.27 % (2766081)Time elapsed: 0.049 s
% 3.57/1.27 % (2766081)Peak memory usage: 89 MB
% 3.57/1.27 % (2766081)Instructions burned: 143 (million)
% 3.57/1.27 % (2766089)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1227199630: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)
% 3.57/1.27 % (2766089)Also succeeded, but the first one will report.
% 3.57/1.27 % (2766091)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1445928532:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.57/1.27 % (2766091)Also succeeded, but the first one will report.
% 3.57/1.27 % (2766053)Refutation found. Thanks to Tanya!
% 3.57/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.27 % (2766053)------------------------------
% 3.57/1.27 % (2766053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.27 % (2766053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.27 % (2766053)CaDiCaL version: 2.1.3
% 3.57/1.27 % (2766053)Termination reason: Refutation
% 3.57/1.27 % (2766053)Time elapsed: 0.007 s
% 3.57/1.27 % (2766053)Peak memory usage: 89 MB
% 3.57/1.27 % (2766053)Instructions burned: 8 (million)
% 3.57/1.27 % (2766053)------------------------------
% 3.57/1.27 % (2766053)------------------------------
% 3.57/1.27 % (2765964)Success in time 0.41 s
% 3.57/1.27 % Vampire exiting
%------------------------------------------------------------------------------