%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN294-1 : 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 : n005.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 01:50:07 PM UTC 2026
% Result : Unsatisfiable 3.91s 1.36s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 15 unt; 4 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 40 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
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(f72,axiom,
! [X0,X1] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_034) ).
fof(f151,axiom,
! [X2,X0,X1] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_113) ).
fof(f369,negated_conjecture,
~ q1(d,d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1119,definition,
( spl0_213
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1120,plain,
( ~ k1(a)
| spl0_213 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1122,definition,
( spl0_214
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ q0(X0,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f1123,plain,
( ! [X0,X1] :
( m1(X0,X1,X1)
| ~ q0(X0,X0)
| ~ k1(X1) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1124,plain,
( ~ spl0_213
| spl0_214 ),
inference(avatar_split_clause,[],[f72,f1122,f1119]) ).
fof(f1158,definition,
( spl0_224
<=> ! [X0] : ~ r0(X0) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f1159,plain,
( ! [X0] : ~ r0(X0)
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1333,definition,
( spl0_272
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ m1(X0,X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
fof(f1334,plain,
( ! [X0,X1] :
( q1(X0,X0,X1)
| ~ m1(X0,X1,X1) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1335,plain,
( spl0_224
| spl0_272 ),
inference(avatar_split_clause,[],[f151,f1333,f1158]) ).
fof(f1411,plain,
( $false
| ~ spl0_224 ),
inference(resolution,[],[f1159,f9]) ).
fof(f1414,plain,
~ spl0_224,
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1479,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1483,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1487,plain,
( $false
| spl0_213 ),
inference(forward_subsumption_resolution,[],[f1483,f1120]) ).
fof(f1488,plain,
spl0_213,
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1969,plain,
( ~ m1(d,c,c)
| ~ spl0_272 ),
inference(resolution,[],[f1334,f369]) ).
fof(f2193,plain,
( ~ q0(d,d)
| ~ k1(c)
| ~ spl0_214
| ~ spl0_272 ),
inference(resolution,[],[f1123,f1969]) ).
fof(f2194,plain,
( ~ k1(c)
| ~ spl0_214
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f2193,f17]) ).
fof(f2196,plain,
( $false
| ~ spl0_214
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f2194,f1479]) ).
fof(f2197,plain,
( ~ spl0_214
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
cnf(s108,plain,
( ~ spl0_213
| spl0_214 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s144,plain,
( spl0_224
| spl0_272 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s165,plain,
~ spl0_224,
inference(sat_conversion,[],[f1414]) ).
cnf(s197,plain,
spl0_213,
inference(sat_conversion,[],[f1488]) ).
cnf(s326,plain,
( ~ spl0_214
| ~ spl0_272 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s336,plain,
spl0_272,
inference(rat,[],[s144,s165]) ).
cnf(s337,plain,
~ spl0_214,
inference(rat,[],[s326,s336]) ).
cnf(s370,plain,
$false,
inference(rat,[],[s108,s337,s197]) ).
fof(f2200,plain,
$false,
inference(avatar_sat_refutation,[],[s370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN294-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:40:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.91/1.36 % (886621)Input is clausal, will run a generic CNF schedule.
% 3.91/1.36 % (886707)lrs+10_1_sil=8000:sp=occurrence:random_seed=3445243234:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.36 % (886707)Refutation not found, incomplete strategy
% 3.91/1.36 % (886707)------------------------------
% 3.91/1.36 % (886707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (886707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (886707)CaDiCaL version: 2.1.3
% 3.91/1.36 % (886707)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.36 % (886707)Time elapsed: 0.002 s
% 3.91/1.36 % (886707)Peak memory usage: 88 MB
% 3.91/1.36 % (886707)Instructions burned: 2 (million)
% 3.91/1.36 % (886703)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=54194497:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.36 % (886706)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2385674689:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.36 % (886709)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2178177309:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.36 % (886712)dis-21_1_sil=8000:lcm=predicate:random_seed=838843037: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)
% 3.91/1.36 % (886710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2737516981:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.36 % (886709)First to succeed.
% 3.91/1.36 % (886709)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-886621"
% 3.91/1.36 % (886705)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3625584232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.36 % (886710)Also succeeded, but the first one will report.
% 3.91/1.36 % (886712)Also succeeded, but the first one will report.
% 3.91/1.36 % (886707)------------------------------
% 3.91/1.36 % (886707)------------------------------
% 3.91/1.36 % (886783)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=2712859822:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.91/1.36 % (886783)Refutation not found, incomplete strategy
% 3.91/1.36 % (886783)------------------------------
% 3.91/1.36 % (886783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (886783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (886783)CaDiCaL version: 2.1.3
% 3.91/1.36 % (886783)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.36 % (886783)Time elapsed: 0.001 s
% 3.91/1.36 % (886783)Peak memory usage: 87 MB
% 3.91/1.36 % (886783)Instructions burned: 1 (million)
% 3.91/1.36 % (886709)Refutation found. Thanks to Tanya!
% 3.91/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.91/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.36 % (886709)------------------------------
% 3.91/1.36 % (886709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.36 % (886709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.36 % (886709)CaDiCaL version: 2.1.3
% 3.91/1.36 % (886709)Termination reason: Refutation
% 3.91/1.36 % (886709)Time elapsed: 0.022 s
% 3.91/1.36 % (886709)Peak memory usage: 90 MB
% 3.91/1.36 % (886709)Instructions burned: 33 (million)
% 3.91/1.36 % (886709)------------------------------
% 3.91/1.36 % (886709)------------------------------
% 3.91/1.36 % (886621)Success in time 0.47 s
% 3.91/1.36 % Vampire exiting
%------------------------------------------------------------------------------