%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET838-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:42:05 PM UTC 2026
% Result : Unsatisfiable 3.39s 1.49s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 19 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,plain,
v_x = v_f(v_g(v_x)),
inference(reorient_equations,[],[f1434]) ).
fof(f1436,negated_conjecture,
! [X0] :
( X0 = v_x
| v_f(v_g(X0)) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1437,plain,
! [X0] :
( v_f(v_g(X0)) != X0
| v_x = X0 ),
inference(reorient_equations,[],[f1436]) ).
fof(f1438,negated_conjecture,
! [X0] :
( v_g(v_f(v_xa(X0))) = v_xa(X0)
| v_g(v_f(X0)) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1439,plain,
! [X0] :
( v_xa(X0) = v_g(v_f(v_xa(X0)))
| v_g(v_f(X0)) != X0 ),
inference(reorient_equations,[],[f1438]) ).
fof(f1440,negated_conjecture,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1441,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_xa(v_g(v_x)) ),
inference(superposition,[],[f1440,f1435]) ).
fof(f1442,plain,
v_g(v_x) != v_xa(v_g(v_x)),
inference(trivial_inequality_removal,[],[f1441]) ).
fof(f1444,plain,
! [X0] :
( v_f(v_xa(X0)) != v_f(v_xa(X0))
| v_x = v_f(v_xa(X0))
| v_g(v_f(X0)) != X0 ),
inference(superposition,[],[f1437,f1439]) ).
fof(f1445,plain,
! [X0] :
( v_x = v_f(v_xa(X0))
| v_g(v_f(X0)) != X0 ),
inference(trivial_inequality_removal,[],[f1444]) ).
fof(f1447,plain,
! [X0] :
( v_g(v_x) = v_xa(X0)
| v_g(v_f(X0)) != X0
| v_g(v_f(X0)) != X0 ),
inference(superposition,[],[f1439,f1445]) ).
fof(f1449,plain,
! [X0] :
( v_g(v_x) = v_xa(X0)
| v_g(v_f(X0)) != X0 ),
inference(duplicate_literal_removal,[],[f1447]) ).
fof(f1452,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_g(v_f(v_g(v_x))) ),
inference(superposition,[],[f1442,f1449]) ).
fof(f1453,plain,
v_g(v_x) != v_g(v_f(v_g(v_x))),
inference(trivial_inequality_removal,[],[f1452]) ).
fof(f1464,plain,
v_g(v_x) != v_g(v_x),
inference(superposition,[],[f1453,f1435]) ).
fof(f1465,plain,
$false,
inference(trivial_inequality_removal,[],[f1464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET838-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:54:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.39/1.49 % (1983307)Input is clausal, will run a generic CNF schedule.
% 3.39/1.49 % (1983312)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=3542485653:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.49 % (1983316)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4090594567:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.49 % (1983316)First to succeed.
% 3.39/1.49 % (1983316)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1983307"
% 3.39/1.49 % (1983315)lrs+10_1_sil=8000:sp=occurrence:random_seed=2211841934:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.49 % (1983313)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1022302146:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.49 % (1983314)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2692837589:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.49 % (1983315)Also succeeded, but the first one will report.
% 3.39/1.49 % (1983318)dis-21_1_sil=8000:lcm=predicate:random_seed=4240981971: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)
% 3.39/1.49 % (1983317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2341204867:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.49 % (1983317)Also succeeded, but the first one will report.
% 3.39/1.49 % (1983318)Instruction limit reached!
% 3.39/1.49 % (1983318)------------------------------
% 3.39/1.49 % (1983318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (1983318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (1983318)CaDiCaL version: 2.1.3
% 3.39/1.49 % (1983318)Termination reason: Instruction limit
% 3.39/1.49 % (1983318)Termination phase: Saturation
% 3.39/1.49 % (1983318)Time elapsed: 0.071 s
% 3.39/1.49 % (1983318)Peak memory usage: 89 MB
% 3.39/1.49 % (1983318)Instructions burned: 118 (million)
% 3.39/1.49 % (1983326)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=3638891102:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.39/1.49 % (1983326)Also succeeded, but the first one will report.
% 3.39/1.49 % (1983316)Refutation found. Thanks to Tanya!
% 3.39/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.49 % (1983316)------------------------------
% 3.39/1.49 % (1983316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (1983316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (1983316)CaDiCaL version: 2.1.3
% 3.39/1.49 % (1983316)Termination reason: Refutation
% 3.39/1.49 % (1983316)Time elapsed: 0.005 s
% 3.39/1.49 % (1983316)Peak memory usage: 89 MB
% 3.39/1.49 % (1983316)Instructions burned: 5 (million)
% 3.39/1.49 % (1983316)------------------------------
% 3.39/1.49 % (1983316)------------------------------
% 3.39/1.49 % (1983307)Success in time 0.418 s
% 3.39/1.49 % Vampire exiting
%------------------------------------------------------------------------------