%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.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 0.19s 0.49s
% Output : Refutation 0.19s
% 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(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_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(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(f1466,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_xa(v_g(v_x)) ),
inference(superposition,[],[f1440,f1435]) ).
fof(f1467,plain,
v_g(v_x) != v_xa(v_g(v_x)),
inference(trivial_inequality_removal,[],[f1466]) ).
fof(f1556,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,[],[f1439,f1435]) ).
fof(f1557,plain,
v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))),
inference(trivial_inequality_removal,[],[f1556]) ).
fof(f1583,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,[],[f1437,f1557]) ).
fof(f1584,plain,
v_x = v_f(v_xa(v_g(v_x))),
inference(trivial_inequality_removal,[],[f1583]) ).
fof(f1587,plain,
v_g(v_x) = v_xa(v_g(v_x)),
inference(superposition,[],[f1557,f1584]) ).
fof(f1590,plain,
$false,
inference(forward_subsumption_resolution,[],[f1587,f1467]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % 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 02:56:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % (4108823)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (4108830)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3965499125:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (4108829)% WARNING: option uhcvi not known.
% 0.19/0.49 % (4108830) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4108823-4108830"...
% 0.19/0.49 % (4108828)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4058550115_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (4108829)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3471147052:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (4108833)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2324636599:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (4108831)dis+10_1_sil=32000:sp=arity:random_seed=3537899936:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (4108832)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2806544574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (4108834)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=246728831:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (4108830)...printing done.
% 0.19/0.49 % (4108830)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (4108830)------------------------------
% 0.19/0.49 % (4108830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (4108830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (4108830)CaDiCaL version: 2.1.3
% 0.19/0.49 % (4108830)Termination reason: Refutation
% 0.19/0.49 % (4108830)Time elapsed: 0.007 s
% 0.19/0.49 % (4108830)Peak memory usage: 13 MB
% 0.19/0.49 % (4108830)Instructions burned: 19 (million)
% 0.19/0.49 % (4108823)Success in time 0.062 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------