%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:49:14 PM UTC 2026
% Result : Unsatisfiable 3.70s 1.24s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 12 unt; 7 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 153 ( 69 ~; 77 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_g(X0)
| big_f(f(X0))
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( big_h(f(X0),X0)
| ~ big_f(X0)
| big_g(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( ~ big_g(f(X0))
| ~ big_f(X0)
| big_g(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0] :
( ~ big_f(X0)
| big_g(X0)
| big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_g(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ big_f(X0)
| big_g(X0)
| ~ big_f(X1)
| big_g(X1)
| big_j(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_f(X1)
| ~ big_h(X0,X1)
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
big_f(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ big_g(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f11,definition,
( spl0_1
<=> ! [X1] :
( ~ big_f(X1)
| big_j(a,X1)
| big_g(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( ! [X1] :
( big_j(a,X1)
| ~ big_f(X1)
| big_g(X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f14,definition,
( spl0_2
<=> ! [X0] :
( ~ big_f(X0)
| big_g(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f16,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f14,f11]) ).
fof(f18,definition,
( spl0_3
<=> big_g(a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( ~ big_g(a)
| spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f14,f18]) ).
fof(f22,definition,
( spl0_4
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f14,f22]) ).
fof(f25,plain,
( ~ big_f(b)
| ~ spl0_2 ),
inference(resolution,[],[f9,f15]) ).
fof(f26,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f25,f8]) ).
fof(f27,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f26]) ).
fof(f29,plain,
( big_f(f(a))
| ~ big_f(a)
| spl0_3 ),
inference(resolution,[],[f1,f19]) ).
fof(f32,definition,
( spl0_5
<=> big_f(f(a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f34,plain,
( ~ spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f18,f32,f22]) ).
fof(f45,plain,
( ! [X0] :
( ~ big_f(a)
| ~ big_h(X0,a)
| ~ big_f(X0)
| ~ big_f(X0)
| big_g(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f7,f12]) ).
fof(f46,plain,
( ! [X0] :
( ~ big_f(a)
| ~ big_h(X0,a)
| ~ big_f(X0)
| big_g(X0) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f45]) ).
fof(f48,definition,
( spl0_8
<=> ! [X0] :
( ~ big_h(X0,a)
| big_g(X0)
| ~ big_f(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0] :
( ~ big_h(X0,a)
| big_g(X0)
| ~ big_f(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f46,f11,f22,f48]) ).
fof(f51,plain,
( big_g(f(a))
| ~ big_f(f(a))
| ~ big_f(a)
| big_g(a)
| ~ spl0_8 ),
inference(resolution,[],[f49,f2]) ).
fof(f55,definition,
( spl0_9
<=> big_g(f(a)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f56,plain,
( big_g(f(a))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f51,f48,f55,f32,f22,f18]) ).
fof(f58,plain,
( ~ big_f(a)
| big_g(a)
| ~ spl0_9 ),
inference(resolution,[],[f56,f3]) ).
fof(f59,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f58,f55,f22,f18]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s3,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f27]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f34]) ).
cnf(s8,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f50]) ).
cnf(s9,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f57]) ).
cnf(s10,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f59]) ).
cnf(s12,plain,
spl0_4,
inference(rat,[],[s3,s4]) ).
cnf(s13,plain,
~ spl0_3,
inference(rat,[],[s2,s4]) ).
cnf(s14,plain,
~ spl0_9,
inference(rat,[],[s10,s12,s13]) ).
cnf(s15,plain,
spl0_5,
inference(rat,[],[s5,s12,s13]) ).
cnf(s16,plain,
~ spl0_8,
inference(rat,[],[s9,s14,s13,s12,s15]) ).
cnf(s17,plain,
~ spl0_1,
inference(rat,[],[s8,s12,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s4,s17]) ).
fof(f60,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.17 % Computer : n011.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Mon Sep 28 15:29:01 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.21 Running first-order theorem proving
% 0.05/0.21 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
% 3.70/1.24 % (3468434)Input is clausal, will run a generic CNF schedule.
% 3.70/1.24 % (3468498)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3702494269:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.70/1.24 % (3468498)Refutation not found, incomplete strategy
% 3.70/1.24 % (3468498)------------------------------
% 3.70/1.24 % (3468498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.24 % (3468498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.24 % (3468498)CaDiCaL version: 2.1.3
% 3.70/1.24 % (3468498)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.24 % (3468498)Time elapsed: 0.0000 s
% 3.70/1.24 % (3468498)Peak memory usage: 86 MB
% 3.70/1.24 % (3468494)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=343855071:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.70/1.24 % (3468502)dis-21_1_sil=8000:lcm=predicate:random_seed=1167269183: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)
% 3.70/1.24 % (3468495)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=411641197:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.70/1.24 % (3468501)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2633536076:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.70/1.24 % (3468496)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=10702203:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.70/1.24 % (3468502)First to succeed.
% 3.70/1.24 % (3468501)Also succeeded, but the first one will report.
% 3.70/1.24 % (3468502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3468434"
% 3.70/1.24 % (3468497)lrs+10_1_sil=8000:sp=occurrence:random_seed=4254780235:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.70/1.24 % (3468497)Also succeeded, but the first one will report.
% 3.70/1.24 % (3468498)------------------------------
% 3.70/1.24 % (3468498)------------------------------
% 3.70/1.24 % (3468502)Refutation found. Thanks to Tanya!
% 3.70/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.70/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.24 % (3468502)------------------------------
% 3.70/1.24 % (3468502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.24 % (3468502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.24 % (3468502)CaDiCaL version: 2.1.3
% 3.70/1.24 % (3468502)Termination reason: Refutation
% 3.70/1.24 % (3468502)Time elapsed: 0.003 s
% 3.70/1.24 % (3468502)Peak memory usage: 88 MB
% 3.70/1.24 % (3468502)Instructions burned: 1 (million)
% 3.70/1.24 % (3468502)------------------------------
% 3.70/1.24 % (3468502)------------------------------
% 3.70/1.24 % (3468434)Success in time 0.45 s
% 3.70/1.24 % Vampire exiting
%------------------------------------------------------------------------------