%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN693-1 : 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 : n002.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 02:01:16 PM UTC 2026
% Result : Unsatisfiable 3.88s 1.33s
% Output : Refutation 3.88s
% 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/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f34,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
fof(f40,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).
fof(f52,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_52) ).
fof(f53,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_58) ).
fof(f107,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f53,f40]) ).
fof(f212,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f107,f40]) ).
fof(f397,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f212,f12]) ).
fof(f701,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[],[f397,f52]) ).
fof(f713,definition,
( spl0_23
<=> p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f714,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c46),c43))
| spl0_23 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,plain,
~ spl0_23,
inference(avatar_split_clause,[],[f701,f713]) ).
fof(f717,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c46))
| spl0_23 ),
inference(resolution,[],[f714,f58]) ).
fof(f719,plain,
( ~ p3(f4(c44),f4(c46))
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f717,f7]) ).
fof(f722,plain,
( ~ p2(c44,c46)
| spl0_23 ),
inference(resolution,[],[f719,f34]) ).
fof(f724,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f722,f16]) ).
fof(f725,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f724]) ).
cnf(s17,plain,
~ spl0_23,
inference(sat_conversion,[],[f716]) ).
cnf(s18,plain,
spl0_23,
inference(sat_conversion,[],[f725]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s17,s18]) ).
fof(f726,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n002.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 16:49:52 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 3.88/1.33 % (506587)Input is clausal, will run a generic CNF schedule.
% 3.88/1.33 % (506592)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=2794108655:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.88/1.33 % (506593)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=519199048:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.88/1.33 % (506597)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2117725556:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.88/1.33 % (506598)dis-21_1_sil=8000:lcm=predicate:random_seed=546688567: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)
% 3.88/1.33 % (506594)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4024063741:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.88/1.33 % (506596)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3618356010:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.88/1.33 % (506595)lrs+10_1_sil=8000:sp=occurrence:random_seed=802214961:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.88/1.33 % (506596)First to succeed.
% 3.88/1.33 % (506596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-506587"
% 3.88/1.33 % (506597)Also succeeded, but the first one will report.
% 3.88/1.33 % (506595)Instruction limit reached!
% 3.88/1.33 % (506595)------------------------------
% 3.88/1.33 % (506595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.33 % (506595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.33 % (506595)CaDiCaL version: 2.1.3
% 3.88/1.33 % (506595)Termination reason: Instruction limit
% 3.88/1.33 % (506595)Termination phase: Saturation
% 3.88/1.33 % (506595)Time elapsed: 0.064 s
% 3.88/1.33 % (506595)Peak memory usage: 88 MB
% 3.88/1.33 % (506595)Instructions burned: 109 (million)
% 3.88/1.33 % (506598)Instruction limit reached!
% 3.88/1.33 % (506598)------------------------------
% 3.88/1.33 % (506598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.33 % (506598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.33 % (506598)CaDiCaL version: 2.1.3
% 3.88/1.33 % (506598)Termination reason: Instruction limit
% 3.88/1.33 % (506598)Termination phase: Saturation
% 3.88/1.33 % (506598)Time elapsed: 0.077 s
% 3.88/1.33 % (506598)Peak memory usage: 88 MB
% 3.88/1.33 % (506598)Instructions burned: 118 (million)
% 3.88/1.33 % (506606)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=1654496974:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.88/1.33 % (506607)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2331118971: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)
% 3.88/1.33 % (506607)Also succeeded, but the first one will report.
% 3.88/1.33 % (506596)Refutation found. Thanks to Tanya!
% 3.88/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.33 % (506596)------------------------------
% 3.88/1.33 % (506596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.33 % (506596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.33 % (506596)CaDiCaL version: 2.1.3
% 3.88/1.33 % (506596)Termination reason: Refutation
% 3.88/1.33 % (506596)Time elapsed: 0.020 s
% 3.88/1.33 % (506596)Peak memory usage: 89 MB
% 3.88/1.33 % (506596)Instructions burned: 26 (million)
% 3.88/1.33 % (506596)------------------------------
% 3.88/1.33 % (506596)------------------------------
% 3.88/1.33 % (506587)Success in time 0.463 s
% 3.88/1.33 % Vampire exiting
%------------------------------------------------------------------------------