%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:44:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
v_x = v_f(v_g(v_x)),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
! [X0] :
( X0 = v_x
| v_f(v_g(X0)) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,plain,
! [X0] :
( v_f(v_g(X0)) != X0
| v_x = X0 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0] :
( v_g(v_f(v_xa(X0))) = v_xa(X0)
| v_g(v_f(X0)) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,plain,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f8,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_xa(v_g(v_x)) ),
inference(superposition,[],[f7,f2]) ).
fof(f9,plain,
v_g(v_x) != v_xa(v_g(v_x)),
inference(trivial_inequality_removal,[],[f8]) ).
fof(f10,plain,
( v_g(v_x) != v_g(v_x)
| v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))) ),
inference(superposition,[],[f6,f2]) ).
fof(f11,plain,
v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))),
inference(trivial_inequality_removal,[],[f10]) ).
fof(f14,plain,
( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| v_x = v_f(v_xa(v_g(v_x))) ),
inference(superposition,[],[f4,f11]) ).
fof(f15,plain,
v_x = v_f(v_xa(v_g(v_x))),
inference(trivial_inequality_removal,[],[f14]) ).
fof(f18,plain,
v_g(v_x) = v_xa(v_g(v_x)),
inference(superposition,[],[f11,f15]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 02:56:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 Running first-order model finding
% 0.09/0.37 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.40 % (2972469)Will run a generic schedule for satisfiability detection.
% 0.09/0.40 % (2972475)% WARNING: option uhcvi not known.
% 0.09/0.40 % (2972474)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3490910292_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.40 % (2972476)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3281830157:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.40 % (2972475)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1665225070:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.40 % (2972477)dis+10_1_sil=32000:sp=arity:random_seed=4065077851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.40 % (2972478)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=390756326:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.40 % (2972479)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2772042158:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.40 % (2972480)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1940664266:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.40 % TRYING [1]
% 0.09/0.40 % TRYING [2]
% 0.09/0.40 % TRYING [3]
% 0.09/0.40 % (2972477) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972477"...
% 0.09/0.40 % (2972478) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972478"...
% 0.09/0.40 % (2972475) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972475"...
% 0.09/0.40 % (2972479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972479"...
% 0.09/0.40 % TRYING [4]
% 0.09/0.40 % (2972480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972480"...
% 0.09/0.40 % (2972476) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2972469-2972476"...
% 0.09/0.40 % TRYING [5]
% 0.09/0.40 % (2972477)...printing done.
% 0.09/0.40 % (2972478)...printing done.
% 0.09/0.40 % (2972475)...printing done.
% 0.09/0.40 % (2972479)...printing done.
% 0.09/0.40 % (2972480)...printing done.
% 0.09/0.40 % (2972476)...printing done.
% 0.09/0.40 % (2972477)Refutation found. Thanks to Tanya!
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.40 % (2972477)------------------------------
% 0.09/0.40 % (2972477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.40 % (2972477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.40 % (2972477)CaDiCaL version: 2.1.3
% 0.09/0.40 % (2972477)Termination reason: Refutation
% 0.09/0.40 % (2972477)Time elapsed: 0.001 s
% 0.09/0.40 % (2972477)Peak memory usage: 11 MB
% 0.09/0.40 % (2972477)Instructions burned: 1 (million)
% 0.09/0.40 % (2972469)Success in time 0.024 s
% 0.09/0.40 % Vampire exiting
%------------------------------------------------------------------------------