%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:49:41 PM UTC 2026
% Result : Unsatisfiable 3.62s 1.39s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 20 unt; 5 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 109 ( 58 ~; 46 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f58,axiom,
( m1(c,c,c)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_020) ).
fof(f62,axiom,
! [X2,X0,X1] :
( m1(X0,a,X1)
| ~ m0(a,X2,a)
| ~ q0(X0,X1)
| ~ m1(X1,c,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_024) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).
fof(f369,negated_conjecture,
~ k2(c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f386,plain,
m1(c,c,c),
inference(forward_subsumption_resolution,[],[f58,f24]) ).
fof(f565,definition,
( spl0_48
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f566,plain,
( k1(a)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ k1(a)
| spl0_48 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f737,definition,
( spl0_88
<=> ! [X2] : ~ m0(a,X2,a) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f738,plain,
( ! [X2] : ~ m0(a,X2,a)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f740,definition,
( spl0_89
<=> ! [X0,X1] :
( m1(X0,a,X1)
| ~ m1(X1,c,X1)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ m1(X1,c,X1)
| m1(X0,a,X1)
| ~ q0(X0,X1) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f742,plain,
( spl0_88
| spl0_89 ),
inference(avatar_split_clause,[],[f62,f740,f737]) ).
fof(f846,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f738,f12]) ).
fof(f847,plain,
~ spl0_88,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f886,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f890,plain,
( $false
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f886,f567]) ).
fof(f891,plain,
spl0_48,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f1034,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f1066,plain,
! [X0] : k2(X0,X0),
inference(resolution,[],[f1034,f167]) ).
fof(f1600,plain,
( ! [X0] :
( m1(X0,a,c)
| ~ q0(X0,c) )
| ~ spl0_89 ),
inference(resolution,[],[f741,f386]) ).
fof(f1987,definition,
( spl0_164
<=> ! [X0] : ~ q0(X0,c) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1988,plain,
( ! [X0] : ~ q0(X0,c)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f2444,plain,
( ! [X0,X1] :
( ~ q0(X0,c)
| k2(c,a)
| ~ k1(X1)
| ~ k2(X1,a) )
| ~ spl0_89 ),
inference(resolution,[],[f1600,f165]) ).
fof(f2449,plain,
( ! [X0,X1] :
( ~ q0(X0,c)
| ~ k1(X1)
| ~ k2(X1,a) )
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2444,f369]) ).
fof(f2460,definition,
( spl0_185
<=> ! [X1] :
( ~ k1(X1)
| ~ k2(X1,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f2461,plain,
( ! [X1] :
( ~ k2(X1,a)
| ~ k1(X1) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2462,plain,
( spl0_185
| spl0_164
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2449,f740,f1987,f2460]) ).
fof(f2463,plain,
( $false
| ~ spl0_164 ),
inference(resolution,[],[f1988,f33]) ).
fof(f2464,plain,
~ spl0_164,
inference(avatar_contradiction_clause,[],[f2463]) ).
fof(f2470,plain,
( ~ k1(a)
| ~ spl0_185 ),
inference(resolution,[],[f2461,f1066]) ).
fof(f2475,plain,
( $false
| ~ spl0_48
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f2470,f566]) ).
fof(f2476,plain,
( ~ spl0_48
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
cnf(s53,plain,
( spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f742]) ).
cnf(s69,plain,
~ spl0_88,
inference(sat_conversion,[],[f847]) ).
cnf(s86,plain,
spl0_48,
inference(sat_conversion,[],[f891]) ).
cnf(s184,plain,
( ~ spl0_89
| spl0_164
| spl0_185 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s185,plain,
~ spl0_164,
inference(sat_conversion,[],[f2464]) ).
cnf(s187,plain,
( ~ spl0_48
| ~ spl0_185 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s189,plain,
( ~ spl0_89
| spl0_185 ),
inference(rat,[],[s184,s185]) ).
cnf(s197,plain,
~ spl0_185,
inference(rat,[],[s187,s86]) ).
cnf(s198,plain,
~ spl0_89,
inference(rat,[],[s189,s197]) ).
cnf(s205,plain,
$false,
inference(rat,[],[s53,s198,s69]) ).
fof(f2481,plain,
$false,
inference(avatar_sat_refutation,[],[s205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n009.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:34:30 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.62/1.39 % (3154705)Input is clausal, will run a generic CNF schedule.
% 3.62/1.39 % (3154729)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=268791997:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.39 % (3154727)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=401593119:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.39 % (3154728)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3790829852:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.39 % (3154730)lrs+10_1_sil=8000:sp=occurrence:random_seed=2638502396:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.39 % (3154732)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3919003256:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.39 % (3154731)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3424558708:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.39 % (3154733)dis-21_1_sil=8000:lcm=predicate:random_seed=1172607355: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)
% 3.62/1.39 % (3154730)First to succeed.
% 3.62/1.39 % (3154730)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3154705"
% 3.62/1.39 % (3154732)Also succeeded, but the first one will report.
% 3.62/1.39 % (3154731)Also succeeded, but the first one will report.
% 3.62/1.39 % (3154733)Instruction limit reached!
% 3.62/1.39 % (3154733)------------------------------
% 3.62/1.39 % (3154733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.39 % (3154733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.39 % (3154733)CaDiCaL version: 2.1.3
% 3.62/1.39 % (3154733)Termination reason: Instruction limit
% 3.62/1.39 % (3154733)Termination phase: Saturation
% 3.62/1.39 % (3154733)Time elapsed: 0.055 s
% 3.62/1.39 % (3154733)Peak memory usage: 89 MB
% 3.62/1.39 % (3154733)Instructions burned: 119 (million)
% 3.62/1.39 % (3154742)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=1268388760:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.62/1.39 % (3154742)Refutation not found, incomplete strategy
% 3.62/1.39 % (3154742)------------------------------
% 3.62/1.39 % (3154742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.39 % (3154742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.39 % (3154742)CaDiCaL version: 2.1.3
% 3.62/1.39 % (3154742)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.39 % (3154742)Time elapsed: 0.003 s
% 3.62/1.39 % (3154742)Peak memory usage: 87 MB
% 3.62/1.39 % (3154742)Instructions burned: 3 (million)
% 3.62/1.39 % (3154730)Refutation found. Thanks to Tanya!
% 3.62/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.39 % (3154730)------------------------------
% 3.62/1.39 % (3154730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.39 % (3154730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.39 % (3154730)CaDiCaL version: 2.1.3
% 3.62/1.39 % (3154730)Termination reason: Refutation
% 3.62/1.39 % (3154730)Time elapsed: 0.025 s
% 3.62/1.39 % (3154730)Peak memory usage: 90 MB
% 3.62/1.39 % (3154730)Instructions burned: 36 (million)
% 3.62/1.39 % (3154730)------------------------------
% 3.62/1.39 % (3154730)------------------------------
% 3.62/1.39 % (3154705)Success in time 0.415 s
% 3.62/1.39 % Vampire exiting
%------------------------------------------------------------------------------