%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN701-1 : 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 : n001.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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 3.75s 1.23s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 15 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
fof(f31,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_31) ).
fof(f42,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_42) ).
fof(f55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).
fof(f56,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
fof(f116,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f56,f42]) ).
fof(f242,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f116,f42]) ).
fof(f445,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f242,f12]) ).
fof(f846,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[],[f445,f55]) ).
fof(f858,definition,
( spl0_27
<=> p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f859,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c46),c43))
| spl0_27 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f861,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f846,f858]) ).
fof(f862,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c46))
| spl0_27 ),
inference(resolution,[],[f859,f62]) ).
fof(f864,plain,
( ~ p3(f4(c44),f4(c46))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f862,f7]) ).
fof(f869,plain,
( ~ p2(c44,c46)
| spl0_27 ),
inference(resolution,[],[f864,f31]) ).
fof(f871,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f869,f16]) ).
fof(f872,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f871]) ).
cnf(s22,plain,
~ spl0_27,
inference(sat_conversion,[],[f861]) ).
cnf(s23,plain,
spl0_27,
inference(sat_conversion,[],[f872]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s22,s23]) ).
fof(f873,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN701-1 : 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 : n001.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 16:54:16 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.75/1.23 % (485942)Input is clausal, will run a generic CNF schedule.
% 3.75/1.23 % (485949)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1012968096:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.75/1.23 % (485947)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=2031722654:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.75/1.23 % (485952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2455121837:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.75/1.23 % (485948)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1108802066:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.75/1.23 % (485953)dis-21_1_sil=8000:lcm=predicate:random_seed=352797851: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)
% 3.75/1.23 % (485950)lrs+10_1_sil=8000:sp=occurrence:random_seed=330195924:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.75/1.23 % (485951)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3523832455:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.75/1.23 % (485951)First to succeed.
% 3.75/1.23 % (485951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-485942"
% 3.75/1.23 % (485952)Also succeeded, but the first one will report.
% 3.75/1.23 % (485950)Instruction limit reached!
% 3.75/1.23 % (485950)------------------------------
% 3.75/1.23 % (485950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.23 % (485950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.23 % (485950)CaDiCaL version: 2.1.3
% 3.75/1.23 % (485950)Termination reason: Instruction limit
% 3.75/1.23 % (485950)Termination phase: Saturation
% 3.75/1.23 % (485950)Time elapsed: 0.068 s
% 3.75/1.23 % (485950)Peak memory usage: 89 MB
% 3.75/1.23 % (485950)Instructions burned: 108 (million)
% 3.75/1.23 % (485953)Instruction limit reached!
% 3.75/1.23 % (485953)------------------------------
% 3.75/1.23 % (485953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.23 % (485953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.23 % (485953)CaDiCaL version: 2.1.3
% 3.75/1.23 % (485953)Termination reason: Instruction limit
% 3.75/1.23 % (485953)Termination phase: Saturation
% 3.75/1.23 % (485953)Time elapsed: 0.079 s
% 3.75/1.23 % (485953)Peak memory usage: 89 MB
% 3.75/1.23 % (485953)Instructions burned: 117 (million)
% 3.75/1.23 % (485963)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=2403894711:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.75/1.23 % (485967)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2775119321: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)
% 3.75/1.23 % (485967)Also succeeded, but the first one will report.
% 3.75/1.23 % (485951)Refutation found. Thanks to Tanya!
% 3.75/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.75/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.23 % (485951)------------------------------
% 3.75/1.23 % (485951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.23 % (485951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.23 % (485951)CaDiCaL version: 2.1.3
% 3.75/1.23 % (485951)Termination reason: Refutation
% 3.75/1.23 % (485951)Time elapsed: 0.023 s
% 3.75/1.23 % (485951)Peak memory usage: 89 MB
% 3.75/1.23 % (485951)Instructions burned: 31 (million)
% 3.75/1.23 % (485951)------------------------------
% 3.75/1.23 % (485951)------------------------------
% 3.75/1.23 % (485942)Success in time 0.455 s
% 3.75/1.23 % Vampire exiting
%------------------------------------------------------------------------------