%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN640-1 : 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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 3.66s 1.28s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 13 unt; 2 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 69 ~; 55 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_7) ).
fof(f9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
fof(f10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_12) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p19(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p19(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
fof(f33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_33) ).
fof(f34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
fof(f35,negated_conjecture,
! [X0,X1] :
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| p20(f17(X0),f17(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_35) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ p19(X2,X3)
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X1),f17(X0))
| ~ p2(X2,f13(f11(X1)))
| ~ p2(X3,f13(f11(X0)))
| ~ p2(f12(f11(X0)),f7(c24)) ),
inference(resolution,[],[f35,f28]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p19(X4,X5)
| p20(f17(X0),f17(X1))
| ~ p2(X2,f13(f11(X0)))
| ~ p2(X3,f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p2(f12(f11(X0)),f7(c24)) ),
inference(resolution,[],[f44,f28]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( p20(f17(X0),f17(X1))
| ~ p2(X2,f13(f11(X0)))
| ~ p2(X3,f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f13(f11(c23)),X2)
| ~ p2(f13(f11(c22)),X3)
| ~ p2(f12(f11(X0)),f7(c24)) ),
inference(resolution,[],[f76,f12]) ).
fof(f128,plain,
! [X0,X1] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(X1,f13(f11(c22)))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f13(f11(c23)),X0)
| ~ p2(f13(f11(c22)),X1)
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(resolution,[],[f89,f7]) ).
fof(f132,plain,
! [X0,X1] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X0)
| ~ p2(f13(f11(c22)),X1)
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(forward_subsumption_resolution,[],[f128,f10]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X0)
| ~ p2(f13(f11(c22)),X1) ),
inference(forward_subsumption_resolution,[],[f132,f9]) ).
fof(f143,definition,
( spl0_9
<=> ! [X1] :
( ~ p2(X1,f13(f11(c22)))
| ~ p2(f13(f11(c22)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f144,plain,
( ! [X1] :
( ~ p2(f13(f11(c22)),X1)
| ~ p2(X1,f13(f11(c22))) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,definition,
( spl0_10
<=> ! [X0] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(f13(f11(c23)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f147,plain,
( ! [X0] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(f13(f11(c23)),X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f134,f146,f143]) ).
fof(f166,plain,
( ~ p2(f13(f11(c22)),f13(f11(c22)))
| ~ spl0_9 ),
inference(resolution,[],[f144,f5]) ).
fof(f172,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f166,f5]) ).
fof(f173,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f175,plain,
( ! [X0,X1] :
( ~ p2(X1,f13(f11(c25)))
| ~ p2(X1,X0)
| ~ p2(f13(f11(c23)),X0) )
| ~ spl0_10 ),
inference(resolution,[],[f147,f26]) ).
fof(f344,plain,
( ! [X0] :
( ~ p2(f13(f11(c23)),X0)
| ~ p2(f13(f11(c25)),X0) )
| ~ spl0_10 ),
inference(resolution,[],[f175,f5]) ).
fof(f359,plain,
( ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
| ~ spl0_10 ),
inference(resolution,[],[f344,f33]) ).
fof(f362,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f359,f34]) ).
fof(f363,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f362]) ).
cnf(s6,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s8,plain,
~ spl0_9,
inference(sat_conversion,[],[f173]) ).
cnf(s20,plain,
~ spl0_10,
inference(sat_conversion,[],[f363]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s20,s8]) ).
fof(f364,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:38:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.66/1.28 % (916246)Input is clausal, will run a generic CNF schedule.
% 3.66/1.28 % (916252)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2558329209:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.28 % (916256)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3138443261:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.28 % (916251)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=804066456:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.28 % (916253)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2490715828:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.28 % (916255)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2271099525:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.28 % (916257)dis-21_1_sil=8000:lcm=predicate:random_seed=3269969486: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)
% 3.66/1.28 % (916254)lrs+10_1_sil=8000:sp=occurrence:random_seed=3307010870:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.28 % (916256)First to succeed.
% 3.66/1.28 % (916256)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-916246"
% 3.66/1.28 % (916254)Instruction limit reached!
% 3.66/1.28 % (916254)------------------------------
% 3.66/1.28 % (916254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (916254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (916254)CaDiCaL version: 2.1.3
% 3.66/1.28 % (916254)Termination reason: Instruction limit
% 3.66/1.28 % (916254)Termination phase: Saturation
% 3.66/1.28 % (916254)Time elapsed: 0.063 s
% 3.66/1.28 % (916254)Peak memory usage: 89 MB
% 3.66/1.28 % (916254)Instructions burned: 108 (million)
% 3.66/1.28 % (916257)Instruction limit reached!
% 3.66/1.28 % (916257)------------------------------
% 3.66/1.28 % (916257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (916257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (916257)CaDiCaL version: 2.1.3
% 3.66/1.28 % (916257)Termination reason: Instruction limit
% 3.66/1.28 % (916257)Termination phase: Saturation
% 3.66/1.28 % (916257)Time elapsed: 0.073 s
% 3.66/1.28 % (916257)Peak memory usage: 88 MB
% 3.66/1.28 % (916257)Instructions burned: 118 (million)
% 3.66/1.28 % (916255)Instruction limit reached!
% 3.66/1.28 % (916255)------------------------------
% 3.66/1.28 % (916255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (916255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (916255)CaDiCaL version: 2.1.3
% 3.66/1.28 % (916255)Termination reason: Instruction limit
% 3.66/1.28 % (916255)Termination phase: Saturation
% 3.66/1.28 % (916255)Time elapsed: 0.074 s
% 3.66/1.28 % (916255)Peak memory usage: 88 MB
% 3.66/1.28 % (916255)Instructions burned: 115 (million)
% 3.66/1.28 % (916265)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=4247603352:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.66/1.28 % (916267)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=909204090:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.66/1.28 % (916266)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3480123355: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)
% 3.66/1.28 % (916256)Refutation found. Thanks to Tanya!
% 3.66/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.28 % (916256)------------------------------
% 3.66/1.28 % (916256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (916256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (916256)CaDiCaL version: 2.1.3
% 3.66/1.28 % (916256)Termination reason: Refutation
% 3.66/1.28 % (916256)Time elapsed: 0.013 s
% 3.66/1.28 % (916256)Peak memory usage: 89 MB
% 3.66/1.28 % (916256)Instructions burned: 17 (million)
% 3.66/1.28 % (916256)------------------------------
% 3.66/1.28 % (916256)------------------------------
% 3.66/1.28 % (916246)Success in time 0.435 s
% 3.66/1.28 % Vampire exiting
%------------------------------------------------------------------------------