%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:50:11 PM UTC 2026
% Result : Unsatisfiable 2.83s 1.18s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 5 unt; 4 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 28 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ f(a,X0)
| g(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ g(X0,X0)
| f(X0,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( f(a,b)
| g(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
( ~ f(a,b)
| ~ g(a,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f6,definition,
( spl0_1
<=> g(a,d) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( ~ g(a,d)
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f9,definition,
( spl0_2
<=> f(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f10,plain,
( ~ f(a,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f11,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4,f9,f6]) ).
fof(f13,definition,
( spl0_3
<=> ! [X0] : g(a,X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f14,plain,
( ! [X0] : g(a,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f15,plain,
( f(a,b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f16,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f3,f9,f13]) ).
fof(f18,definition,
( spl0_4
<=> ! [X0] : ~ f(a,X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f19,plain,
( ! [X0] : ~ f(a,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1,f18,f13]) ).
fof(f21,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f14,f7]) ).
fof(f22,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f21]) ).
fof(f23,plain,
( f(a,b)
| ~ spl0_3 ),
inference(resolution,[],[f2,f14]) ).
fof(f24,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f10]) ).
fof(f25,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f26,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f19,f15]) ).
fof(f27,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f26]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f11]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s3,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f25]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f27]) ).
cnf(s7,plain,
spl0_3,
inference(rat,[],[s6,s2,s3]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s4,s7]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s8,s9]) ).
fof(f28,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n016.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 15:46:52 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.83/1.18 % (3725367)Input is clausal, will run a generic CNF schedule.
% 2.83/1.18 % (3725376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=725829940:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.18 % (3725376)First to succeed.
% 2.83/1.18 % (3725376)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3725367"
% 2.83/1.18 % (3725373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2327750002:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.18 % (3725372)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=2760316522:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.18 % (3725375)lrs+10_1_sil=8000:sp=occurrence:random_seed=1187922222:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.18 % (3725377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2094566344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.18 % (3725374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4174313304:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.18 % (3725378)dis-21_1_sil=8000:lcm=predicate:random_seed=819228704: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)
% 2.83/1.18 % (3725375)Also succeeded, but the first one will report.
% 2.83/1.18 % (3725378)Also succeeded, but the first one will report.
% 2.83/1.18 % (3725377)Also succeeded, but the first one will report.
% 2.83/1.18 % (3725376)Refutation found. Thanks to Tanya!
% 2.83/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/1.18 % (3725376)------------------------------
% 2.83/1.18 % (3725376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.18 % (3725376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.18 % (3725376)CaDiCaL version: 2.1.3
% 2.83/1.18 % (3725376)Termination reason: Refutation
% 2.83/1.18 % (3725376)Time elapsed: 0.001 s
% 2.83/1.18 % (3725376)Peak memory usage: 89 MB
% 2.83/1.18 % (3725376)Instructions burned: 1 (million)
% 2.83/1.18 % (3725376)------------------------------
% 2.83/1.18 % (3725376)------------------------------
% 2.83/1.18 % (3725367)Success in time 0.312 s
% 2.83/1.18 % Vampire exiting
%------------------------------------------------------------------------------