%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN631-1 : 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 : n007.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 6.06s 2.01s
% Output : Refutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 12 unt; 1 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 57 ~; 38 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f5,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
fof(f8,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_8) ).
fof(f11,negated_conjecture,
! [X0,X1] : p5(f16(f18(X0,X1)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
fof(f12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
fof(f13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( p5(f16(X0),f16(X1))
| ~ p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( p5(X0,X1)
| ~ p5(X2,X0)
| ~ p5(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).
fof(f28,negated_conjecture,
! [X2,X0,X1] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( p23(X0,X1)
| ~ p12(X2,X0)
| ~ p23(X2,X3)
| ~ p10(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( p12(f13(X0,X1),f13(X2,X3))
| ~ p5(X0,X2)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( p5(X0,f18(f20(c29),f19(X1,X0,X2)))
| ~ p23(f13(X0,X2),f11(f15(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).
fof(f35,negated_conjecture,
! [X2,X0,X1] :
( p23(f13(f19(X0,X1,X2),X2),f11(X0))
| ~ p23(f13(X1,X2),f11(f15(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
fof(f39,plain,
! [X0,X1] :
( ~ p23(X0,X1)
| ~ p12(X0,f13(f16(c27),f14(c28)))
| ~ p10(X1,f11(c24)) ),
inference(resolution,[],[f29,f13]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ p12(f13(f19(X2,X0,X1),X1),f13(f16(c27),f14(c28)))
| ~ p23(f13(X0,X1),f11(f15(X2)))
| ~ p10(f11(X2),f11(c24)) ),
inference(resolution,[],[f35,f39]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ p10(f11(X2),f11(c24))
| ~ p23(f13(X0,X1),f11(f15(X2)))
| ~ p12(X3,f13(f19(X2,X0,X1),X1))
| ~ p12(X3,f13(f16(c27),f14(c28))) ),
inference(resolution,[],[f51,f28]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ p23(f13(X0,X1),f11(f15(c24)))
| ~ p12(X2,f13(f19(c24,X0,X1),X1))
| ~ p12(X2,f13(f16(c27),f14(c28))) ),
inference(resolution,[],[f67,f1]) ).
fof(f145,plain,
! [X0] :
( ~ p12(X0,f13(f19(c24,c27,f14(c28)),f14(c28)))
| ~ p12(X0,f13(f16(c27),f14(c28))) ),
inference(resolution,[],[f103,f12]) ).
fof(f203,definition,
( spl0_4
<=> ! [X0] :
( ~ p12(X0,f13(f19(c24,c27,f14(c28)),f14(c28)))
| ~ p12(X0,f13(f16(c27),f14(c28))) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f204,plain,
( ! [X0] :
( ~ p12(X0,f13(f19(c24,c27,f14(c28)),f14(c28)))
| ~ p12(X0,f13(f16(c27),f14(c28))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f236,plain,
spl0_4,
inference(avatar_split_clause,[],[f145,f203]) ).
fof(f241,plain,
( ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f16(c27),f14(c28)))
| ~ spl0_4 ),
inference(resolution,[],[f204,f8]) ).
fof(f244,plain,
( ~ p5(f19(c24,c27,f14(c28)),f16(c27))
| ~ p5(f14(c28),f14(c28))
| ~ spl0_4 ),
inference(resolution,[],[f241,f32]) ).
fof(f246,plain,
( ~ p5(f19(c24,c27,f14(c28)),f16(c27))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f244,f5]) ).
fof(f249,plain,
( ! [X0] :
( ~ p5(X0,f19(c24,c27,f14(c28)))
| ~ p5(X0,f16(c27)) )
| ~ spl0_4 ),
inference(resolution,[],[f246,f25]) ).
fof(f255,plain,
( ! [X0] : ~ p5(f16(f18(X0,f19(c24,c27,f14(c28)))),f16(c27))
| ~ spl0_4 ),
inference(resolution,[],[f249,f11]) ).
fof(f263,plain,
( ! [X0] : ~ p5(f18(X0,f19(c24,c27,f14(c28))),c27)
| ~ spl0_4 ),
inference(resolution,[],[f255,f18]) ).
fof(f268,plain,
( ! [X0,X1] :
( ~ p5(X0,c27)
| ~ p5(X0,f18(X1,f19(c24,c27,f14(c28)))) )
| ~ spl0_4 ),
inference(resolution,[],[f263,f25]) ).
fof(f273,plain,
( ! [X0] : ~ p5(c27,f18(X0,f19(c24,c27,f14(c28))))
| ~ spl0_4 ),
inference(resolution,[],[f268,f5]) ).
fof(f282,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| ~ spl0_4 ),
inference(resolution,[],[f273,f34]) ).
fof(f284,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f282,f12]) ).
fof(f285,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f284]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f236]) ).
cnf(s5,plain,
~ spl0_4,
inference(sat_conversion,[],[f285]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n007.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 16:35:40 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 Running first-order theorem proving
% 0.28/0.31 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
% 6.06/2.01 % (2540091)Input is clausal, will run a generic CNF schedule.
% 6.06/2.01 % (2540099)lrs+10_1_sil=8000:sp=occurrence:random_seed=2243862576:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.06/2.01 % (2540099)Instruction limit reached!
% 6.06/2.01 % (2540099)------------------------------
% 6.06/2.01 % (2540099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/2.01 % (2540099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.01 % (2540099)CaDiCaL version: 2.1.3
% 6.06/2.01 % (2540099)Termination reason: Instruction limit
% 6.06/2.01 % (2540099)Termination phase: Saturation
% 6.06/2.01 % (2540099)Time elapsed: 0.059 s
% 6.06/2.01 % (2540099)Peak memory usage: 89 MB
% 6.06/2.01 % (2540099)Instructions burned: 113 (million)
% 6.06/2.01 % (2540096)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=2232701223:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.06/2.01 % (2540097)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1308189082:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.06/2.01 % (2540102)dis-21_1_sil=8000:lcm=predicate:random_seed=3379816206: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)
% 6.06/2.01 % (2540098)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=697842463:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.06/2.01 % (2540100)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2555430341:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.06/2.01 % (2540101)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2284930493:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.06/2.01 % (2540101)First to succeed.
% 6.06/2.01 % (2540101)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2540091"
% 6.06/2.01 % (2540100)Also succeeded, but the first one will report.
% 6.06/2.01 % (2540102)Instruction limit reached!
% 6.06/2.01 % (2540102)------------------------------
% 6.06/2.01 % (2540102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/2.01 % (2540102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.01 % (2540102)CaDiCaL version: 2.1.3
% 6.06/2.01 % (2540102)Termination reason: Instruction limit
% 6.06/2.01 % (2540102)Termination phase: Saturation
% 6.06/2.01 % (2540102)Time elapsed: 0.116 s
% 6.06/2.01 % (2540102)Peak memory usage: 88 MB
% 6.06/2.01 % (2540102)Instructions burned: 118 (million)
% 6.06/2.01 % (2540106)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=523504840:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.06/2.01 % (2540106)Instruction limit reached!
% 6.06/2.01 % (2540106)------------------------------
% 6.06/2.01 % (2540106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/2.01 % (2540106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.01 % (2540106)CaDiCaL version: 2.1.3
% 6.06/2.01 % (2540106)Termination reason: Instruction limit
% 6.06/2.01 % (2540106)Termination phase: Saturation
% 6.06/2.01 % (2540106)Time elapsed: 0.077 s
% 6.06/2.01 % (2540106)Peak memory usage: 89 MB
% 6.06/2.01 % (2540106)Instructions burned: 145 (million)
% 6.06/2.01 % (2540111)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1092408885:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 6.06/2.01 % (2540101)Refutation found. Thanks to Tanya!
% 6.06/2.01 % SZS status Unsatisfiable for theBenchmark
% 6.06/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 6.06/2.01 % (2540101)------------------------------
% 6.06/2.01 % (2540101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/2.01 % (2540101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.01 % (2540101)CaDiCaL version: 2.1.3
% 6.06/2.01 % (2540101)Termination reason: Refutation
% 6.06/2.01 % (2540101)Time elapsed: 0.018 s
% 6.06/2.01 % (2540101)Peak memory usage: 89 MB
% 6.06/2.01 % (2540101)Instructions burned: 15 (million)
% 6.06/2.01 % (2540101)------------------------------
% 6.06/2.01 % (2540101)------------------------------
% 6.06/2.01 % (2540091)Success in time 0.729 s
% 6.06/2.01 % Vampire exiting
%------------------------------------------------------------------------------