%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:49:01 PM UTC 2026
% Result : Unsatisfiable 2.53s 1.05s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 7 unt; 2 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( g(f(X0),X0)
| g(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
! [X0] :
( g(X0,f(X0))
| g(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ g(X1,a)
| ~ g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).
fof(f6,plain,
~ g(a,a),
inference(factoring,[],[f5]) ).
fof(f7,plain,
! [X0] :
( g(a,a)
| ~ g(X0,f(a)) ),
inference(resolution,[],[f1,f5]) ).
fof(f9,definition,
( spl0_1
<=> ! [X0] : ~ g(X0,f(a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( ! [X0] : ~ g(X0,f(a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,definition,
( spl0_2
<=> g(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( g(a,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f14,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f12,f9]) ).
fof(f15,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f13,f6]) ).
fof(f16,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f15]) ).
fof(f24,plain,
( g(a,a)
| ~ spl0_1 ),
inference(resolution,[],[f10,f2]) ).
fof(f25,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f24,f6]) ).
fof(f26,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f25]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f16]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f26]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n026.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:23:12 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.53/1.05 % (3936881)Input is clausal, will run a generic CNF schedule.
% 2.53/1.05 % (3936890)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1822977545:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.53/1.05 % (3936890)First to succeed.
% 2.53/1.05 % (3936890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3936881"
% 2.53/1.05 % (3936888)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1546546067:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.53/1.05 % (3936886)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=1330492226:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.53/1.05 % (3936887)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1926572672:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.53/1.05 % (3936889)lrs+10_1_sil=8000:sp=occurrence:random_seed=2910912341:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.53/1.05 % (3936889)Also succeeded, but the first one will report.
% 2.53/1.05 % (3936892)dis-21_1_sil=8000:lcm=predicate:random_seed=2664095815: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)
% 2.53/1.05 % (3936892)Also succeeded, but the first one will report.
% 2.53/1.05 % (3936891)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2310225134:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.53/1.05 % (3936891)Also succeeded, but the first one will report.
% 2.53/1.05 % (3936890)Refutation found. Thanks to Tanya!
% 2.53/1.05 % SZS status Unsatisfiable for theBenchmark
% 2.53/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/1.05 % (3936890)------------------------------
% 2.53/1.05 % (3936890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.05 % (3936890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.05 % (3936890)CaDiCaL version: 2.1.3
% 2.53/1.05 % (3936890)Termination reason: Refutation
% 2.53/1.05 % (3936890)Time elapsed: 0.001 s
% 2.53/1.05 % (3936890)Peak memory usage: 89 MB
% 2.53/1.05 % (3936890)------------------------------
% 2.53/1.05 % (3936890)------------------------------
% 2.53/1.05 % (3936881)Success in time 0.274 s
% 2.53/1.05 % Vampire exiting
%------------------------------------------------------------------------------