%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN696-1 : 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 : n018.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 3.24s 0.93s
% Output : Refutation 3.24s
% 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,c45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
fof(f42,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',p2_55) ).
fof(f56,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_56) ).
fof(f61,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_61) ).
fof(f115,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f56,f42]) ).
fof(f230,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f115,f42]) ).
fof(f415,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[],[f230,f12]) ).
fof(f809,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[],[f415,f55]) ).
fof(f821,definition,
( spl0_32
<=> p2(f11(f4(c44),c43),f11(f4(c45),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f822,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| spl0_32 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f824,plain,
~ spl0_32,
inference(avatar_split_clause,[],[f809,f821]) ).
fof(f825,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45))
| spl0_32 ),
inference(resolution,[],[f822,f61]) ).
fof(f827,plain,
( ~ p3(f4(c44),f4(c45))
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f825,f7]) ).
fof(f845,plain,
( ~ p2(c44,c45)
| spl0_32 ),
inference(resolution,[],[f827,f36]) ).
fof(f847,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f845,f16]) ).
fof(f848,plain,
spl0_32,
inference(avatar_contradiction_clause,[],[f847]) ).
cnf(s24,plain,
~ spl0_32,
inference(sat_conversion,[],[f824]) ).
cnf(s26,plain,
spl0_32,
inference(sat_conversion,[],[f848]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s24,s26]) ).
fof(f849,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN696-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:48:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.24/0.93 % (3534710)Input is clausal, will run a generic CNF schedule.
% 3.24/0.93 % (3534721)dis-21_1_sil=8000:lcm=predicate:random_seed=407729388: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)
% 3.24/0.93 % (3534720)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3240299851:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.24/0.93 % (3534718)lrs+10_1_sil=8000:sp=occurrence:random_seed=3172576610:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.24/0.93 % (3534717)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3433739423:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.24/0.93 % (3534716)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=58317025:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.24/0.93 % (3534719)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2333081914:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.24/0.93 % (3534715)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=1684026213:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.24/0.93 % (3534721)Instruction limit reached!
% 3.24/0.93 % (3534721)------------------------------
% 3.24/0.93 % (3534721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/0.93 % (3534721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.93 % (3534721)CaDiCaL version: 2.1.3
% 3.24/0.93 % (3534721)Termination reason: Instruction limit
% 3.24/0.93 % (3534721)Termination phase: Saturation
% 3.24/0.93 % (3534721)Time elapsed: 0.041 s
% 3.24/0.93 % (3534721)Peak memory usage: 89 MB
% 3.24/0.93 % (3534721)Instructions burned: 119 (million)
% 3.24/0.93 % (3534719)First to succeed.
% 3.24/0.93 % (3534719)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3534710"
% 3.24/0.93 % (3534720)Also succeeded, but the first one will report.
% 3.24/0.93 % (3534718)Instruction limit reached!
% 3.24/0.93 % (3534718)------------------------------
% 3.24/0.93 % (3534718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/0.93 % (3534718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.93 % (3534718)CaDiCaL version: 2.1.3
% 3.24/0.93 % (3534718)Termination reason: Instruction limit
% 3.24/0.93 % (3534718)Termination phase: Saturation
% 3.24/0.93 % (3534718)Time elapsed: 0.067 s
% 3.24/0.93 % (3534718)Peak memory usage: 89 MB
% 3.24/0.93 % (3534718)Instructions burned: 107 (million)
% 3.24/0.93 % (3534729)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=3851786823:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.24/0.93 % (3534729)Instruction limit reached!
% 3.24/0.93 % (3534729)------------------------------
% 3.24/0.93 % (3534729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/0.93 % (3534729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.93 % (3534729)CaDiCaL version: 2.1.3
% 3.24/0.93 % (3534729)Termination reason: Instruction limit
% 3.24/0.93 % (3534729)Termination phase: Saturation
% 3.24/0.93 % (3534729)Time elapsed: 0.050 s
% 3.24/0.93 % (3534729)Peak memory usage: 89 MB
% 3.24/0.93 % (3534729)Instructions burned: 143 (million)
% 3.24/0.93 % (3534730)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1072495141: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)
% 3.24/0.93 % (3534732)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1023039914:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.24/0.93 % (3534732)Also succeeded, but the first one will report.
% 3.24/0.93 % (3534719)Refutation found. Thanks to Tanya!
% 3.24/0.93 % SZS status Unsatisfiable for theBenchmark
% 3.24/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.24/0.94 % (3534719)------------------------------
% 3.24/0.94 % (3534719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.24/0.94 % (3534719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.94 % (3534719)CaDiCaL version: 2.1.3
% 3.24/0.94 % (3534719)Termination reason: Refutation
% 3.24/0.94 % (3534719)Time elapsed: 0.023 s
% 3.24/0.94 % (3534719)Peak memory usage: 89 MB
% 3.24/0.94 % (3534719)Instructions burned: 30 (million)
% 3.24/0.94 % (3534719)------------------------------
% 3.24/0.94 % (3534719)------------------------------
% 3.24/0.94 % (3534710)Success in time 0.422 s
% 3.24/0.94 % Vampire exiting
%------------------------------------------------------------------------------