%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN111-1 : 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 : n008.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 3.86s 1.22s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 17 unt; 3 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 51 ~; 42 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_005) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
fof(f154,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_116) ).
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,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f893,plain,
k1(e),
inference(resolution,[],[f39,f30]) ).
fof(f894,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
fof(f974,plain,
! [X0] :
( k2(X0,X0)
| ~ r0(X0) ),
inference(resolution,[],[f167,f154]) ).
fof(f1020,plain,
m1(e,b,e),
inference(resolution,[],[f43,f31]) ).
fof(f1826,plain,
! [X2,X0,X1] :
( ~ k2(X2,X1)
| ~ k1(X2)
| k2(X0,X1)
| ~ l0(X0)
| ~ k0(X1) ),
inference(resolution,[],[f165,f59]) ).
fof(f1835,plain,
! [X0] :
( k2(e,b)
| ~ k1(X0)
| ~ k2(X0,b) ),
inference(resolution,[],[f165,f1020]) ).
fof(f1841,definition,
( spl0_147
<=> ! [X0] :
( ~ k1(X0)
| ~ k2(X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1842,plain,
( ! [X0] :
( ~ k2(X0,b)
| ~ k1(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1844,definition,
( spl0_148
<=> k2(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1846,plain,
( k2(e,b)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1847,plain,
( spl0_147
| spl0_148 ),
inference(avatar_split_clause,[],[f1835,f1844,f1841]) ).
fof(f2241,plain,
( ~ k1(b)
| ~ r0(b)
| ~ spl0_147 ),
inference(resolution,[],[f1842,f974]) ).
fof(f2254,plain,
( ~ r0(b)
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2241,f894]) ).
fof(f2258,plain,
( $false
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2254,f9]) ).
fof(f2259,plain,
~ spl0_147,
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2990,plain,
( ! [X0] :
( ~ k1(e)
| k2(X0,b)
| ~ l0(X0)
| ~ k0(b) )
| ~ spl0_148 ),
inference(resolution,[],[f1826,f1846]) ).
fof(f2997,plain,
( ! [X0] :
( k2(X0,b)
| ~ l0(X0)
| ~ k0(b) )
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f2990,f893]) ).
fof(f3001,plain,
( ! [X0] :
( k2(X0,b)
| ~ l0(X0) )
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f2997,f32]) ).
fof(f3004,definition,
( spl0_201
<=> ! [X1] :
( k2(X1,b)
| ~ l0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f3005,plain,
( ! [X1] :
( k2(X1,b)
| ~ l0(X1) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f3011,plain,
( spl0_201
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3001,f1844,f3004]) ).
fof(f3217,plain,
( ~ l0(c)
| ~ spl0_201 ),
inference(resolution,[],[f3005,f369]) ).
fof(f3222,plain,
( $false
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f3217,f24]) ).
fof(f3223,plain,
~ spl0_201,
inference(avatar_contradiction_clause,[],[f3222]) ).
cnf(s148,plain,
( spl0_147
| spl0_148 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s170,plain,
~ spl0_147,
inference(sat_conversion,[],[f2259]) ).
cnf(s204,plain,
( ~ spl0_148
| spl0_201 ),
inference(sat_conversion,[],[f3011]) ).
cnf(s214,plain,
~ spl0_201,
inference(sat_conversion,[],[f3223]) ).
cnf(s215,plain,
~ spl0_148,
inference(rat,[],[s204,s214]) ).
cnf(s223,plain,
$false,
inference(rat,[],[s148,s215,s170]) ).
fof(f3224,plain,
$false,
inference(avatar_sat_refutation,[],[s223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:35:09 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.86/1.22 % (2345367)Input is clausal, will run a generic CNF schedule.
% 3.86/1.22 % (2345378)dis-21_1_sil=8000:lcm=predicate:random_seed=1068680192: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)
% 3.86/1.22 % (2345378)Instruction limit reached!
% 3.86/1.22 % (2345378)------------------------------
% 3.86/1.22 % (2345378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.22 % (2345378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.22 % (2345378)CaDiCaL version: 2.1.3
% 3.86/1.22 % (2345378)Termination reason: Instruction limit
% 3.86/1.22 % (2345378)Termination phase: Saturation
% 3.86/1.22 % (2345378)Time elapsed: 0.030 s
% 3.86/1.22 % (2345378)Peak memory usage: 89 MB
% 3.86/1.22 % (2345378)Instructions burned: 118 (million)
% 3.86/1.22 % (2345374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3196093654:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.86/1.22 % (2345377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4215582279:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.86/1.22 % (2345373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3250739310:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.86/1.22 % (2345376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2280962884:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.86/1.22 % (2345375)lrs+10_1_sil=8000:sp=occurrence:random_seed=2987682509:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.86/1.22 % (2345372)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=3787568261:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.86/1.22 % (2345375)First to succeed.
% 3.86/1.22 % (2345375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2345367"
% 3.86/1.22 % (2345376)Also succeeded, but the first one will report.
% 3.86/1.22 % (2345377)Also succeeded, but the first one will report.
% 3.86/1.22 % (2345386)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=494539154:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.86/1.22 % (2345386)Refutation not found, incomplete strategy
% 3.86/1.22 % (2345386)------------------------------
% 3.86/1.22 % (2345386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.22 % (2345386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.22 % (2345386)CaDiCaL version: 2.1.3
% 3.86/1.22 % (2345386)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.22 % (2345386)Time elapsed: 0.002 s
% 3.86/1.22 % (2345386)Peak memory usage: 87 MB
% 3.86/1.22 % (2345386)Instructions burned: 3 (million)
% 3.86/1.22 % (2345375)Refutation found. Thanks to Tanya!
% 3.86/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.86/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/1.22 % (2345375)------------------------------
% 3.86/1.22 % (2345375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.22 % (2345375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.22 % (2345375)CaDiCaL version: 2.1.3
% 3.86/1.22 % (2345375)Termination reason: Refutation
% 3.86/1.22 % (2345375)Time elapsed: 0.034 s
% 3.86/1.22 % (2345375)Peak memory usage: 90 MB
% 3.86/1.22 % (2345375)Instructions burned: 49 (million)
% 3.86/1.22 % (2345375)------------------------------
% 3.86/1.22 % (2345375)------------------------------
% 3.86/1.22 % (2345367)Success in time 0.473 s
% 3.86/1.22 % Vampire exiting
%------------------------------------------------------------------------------