%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN077-1 : 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 : 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 01:49:36 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.19s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 71 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 43 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0,X1] :
( X0 != X1
| big_f(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ big_f(X2,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a)
| ~ big_f(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( big_f(X0,h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1))
| big_f(X1,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( big_f(i(X0,X1),h(X0))
| big_f(X0,a)
| ~ big_f(X1,h(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X1] : big_f(X1,f(X1)),
inference(equality_resolution,[],[f2]) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ big_f(i(X2,g(X0,X1)),X1)
| ~ big_f(X0,a)
| ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),h(X2))
| big_f(X2,a) ),
inference(resolution,[],[f4,f6]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| g(X0,f(X1)) = X1
| ~ big_f(X0,a) ),
inference(resolution,[],[f1,f3]) ).
fof(f14,plain,
! [X0] :
( ~ big_f(X0,a)
| g(X0,f(X0)) = X0 ),
inference(resolution,[],[f12,f8]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(X0,a)
| ~ big_f(X0,h(X1))
| ~ big_f(g(X0,h(X1)),h(X1))
| big_f(X1,a)
| big_f(X1,a)
| ~ big_f(g(X0,h(X1)),h(X1)) ),
inference(resolution,[],[f10,f7]) ).
fof(f23,plain,
! [X0,X1] :
( ~ big_f(X0,a)
| ~ big_f(X0,h(X1))
| ~ big_f(g(X0,h(X1)),h(X1))
| big_f(X1,a) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ big_f(X0,h(X1))
| ~ big_f(X0,a)
| big_f(X1,a) ),
inference(forward_subsumption_resolution,[],[f23,f3]) ).
fof(f27,plain,
! [X0,X1] :
( ~ big_f(i(X0,X1),a)
| big_f(X0,a)
| big_f(X0,a)
| ~ big_f(X1,h(X0)) ),
inference(resolution,[],[f24,f7]) ).
fof(f29,plain,
! [X0,X1] :
( ~ big_f(i(X0,X1),a)
| big_f(X0,a)
| ~ big_f(X1,h(X0)) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f32,plain,
! [X0] :
( big_f(X0,a)
| ~ big_f(a,h(X0))
| ~ big_f(a,h(X0))
| big_f(X0,a) ),
inference(resolution,[],[f29,f6]) ).
fof(f33,plain,
! [X0] :
( ~ big_f(a,h(X0))
| big_f(X0,a) ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f34,plain,
( big_f(a,a)
| big_f(a,a) ),
inference(resolution,[],[f33,f5]) ).
fof(f35,plain,
big_f(a,a),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f36,plain,
a = g(a,f(a)),
inference(resolution,[],[f35,f14]) ).
fof(f45,plain,
! [X0] :
( ~ big_f(X0,a)
| ~ big_f(a,f(a))
| ~ big_f(a,a)
| ~ big_f(X0,f(a)) ),
inference(superposition,[],[f4,f36]) ).
fof(f49,plain,
! [X0] :
( ~ big_f(X0,a)
| ~ big_f(a,a)
| ~ big_f(X0,f(a)) ),
inference(forward_subsumption_resolution,[],[f45,f8]) ).
fof(f51,plain,
! [X0] :
( ~ big_f(X0,f(a))
| ~ big_f(X0,a) ),
inference(forward_subsumption_resolution,[],[f49,f35]) ).
fof(f63,plain,
~ big_f(a,a),
inference(resolution,[],[f51,f8]) ).
fof(f66,plain,
$false,
inference(forward_subsumption_resolution,[],[f63,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:30:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.58/1.19 % (868760)Input is clausal, will run a generic CNF schedule.
% 3.58/1.19 % (868765)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=2221057571:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.19 % (868768)lrs+10_1_sil=8000:sp=occurrence:random_seed=428771205:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.19 % (868767)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1221387365:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.19 % (868766)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1338280152:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.19 % (868771)dis-21_1_sil=8000:lcm=predicate:random_seed=3545380346: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)
% 3.58/1.19 % (868769)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2600543835:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.19 % (868770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3534915373:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.19 % (868769)Refutation not found, incomplete strategy
% 3.58/1.19 % (868769)------------------------------
% 3.58/1.19 % (868769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (868769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (868769)CaDiCaL version: 2.1.3
% 3.58/1.19 % (868769)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.19 % (868769)Time elapsed: 0.001 s
% 3.58/1.19 % (868769)Peak memory usage: 87 MB
% 3.58/1.19 % (868771)Refutation not found, incomplete strategy
% 3.58/1.19 % (868771)------------------------------
% 3.58/1.19 % (868771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (868771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (868771)CaDiCaL version: 2.1.3
% 3.58/1.19 % (868771)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.19 % (868771)Time elapsed: 0.002 s
% 3.58/1.19 % (868771)Peak memory usage: 88 MB
% 3.58/1.19 % (868771)Instructions burned: 1 (million)
% 3.58/1.19 % (868768)First to succeed.
% 3.58/1.19 % (868768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-868760"
% 3.58/1.19 % (868770)Also succeeded, but the first one will report.
% 3.58/1.19 % (868771)------------------------------
% 3.58/1.19 % (868771)------------------------------
% 3.58/1.19 % (868769)------------------------------
% 3.58/1.19 % (868769)------------------------------
% 3.58/1.19 % (868768)Refutation found. Thanks to Tanya!
% 3.58/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.19 % (868768)------------------------------
% 3.58/1.19 % (868768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (868768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (868768)CaDiCaL version: 2.1.3
% 3.58/1.19 % (868768)Termination reason: Refutation
% 3.58/1.19 % (868768)Time elapsed: 0.003 s
% 3.58/1.19 % (868768)Peak memory usage: 88 MB
% 3.58/1.19 % (868768)Instructions burned: 3 (million)
% 3.58/1.19 % (868768)------------------------------
% 3.58/1.19 % (868768)------------------------------
% 3.58/1.19 % (868760)Success in time 0.432 s
% 3.58/1.19 % Vampire exiting
%------------------------------------------------------------------------------