%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:57:44 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
fof(f7,negated_conjecture,
! [X0,X1] : implies(X0,X1) = implies(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent) ).
fof(f8,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
fof(f12,plain,
! [X0] : implies(X0,truth) = X0,
inference(superposition,[],[f7,f1]) ).
fof(f40,plain,
! [X0] : implies(X0,truth) = implies(implies(truth,X0),X0),
inference(superposition,[],[f12,f4]) ).
fof(f41,plain,
! [X0] : implies(X0,truth) = implies(X0,X0),
inference(superposition,[],[f40,f1]) ).
fof(f54,plain,
! [X0] : implies(X0,truth) = implies(X0,implies(truth,X0)),
inference(superposition,[],[f7,f40]) ).
fof(f58,plain,
! [X0] : implies(X0,X0) = X0,
inference(superposition,[],[f12,f41]) ).
fof(f62,plain,
! [X0] : implies(truth,X0) = implies(X0,X0),
inference(superposition,[],[f7,f41]) ).
fof(f95,plain,
! [X0] : implies(X0,truth) = implies(X0,implies(X0,X0)),
inference(superposition,[],[f54,f62]) ).
fof(f560,plain,
! [X0] : truth = implies(implies(X0,X0),truth),
inference(superposition,[],[f95,f3]) ).
fof(f581,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f560,f58]) ).
fof(f628,plain,
! [X0] : truth = X0,
inference(superposition,[],[f12,f581]) ).
fof(f662,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f628,f628]) ).
fof(f708,plain,
! [X0] : x != X0,
inference(superposition,[],[f8,f662]) ).
fof(f711,plain,
$false,
inference(equality_resolution,[],[f708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:23:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.44 % (1370111)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (1370124)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1947841505:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.44 % (1370119)% WARNING: option uhcvi not known.
% 0.11/0.44 % (1370120)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2197007187:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.44 % (1370119)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=446921817:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.44 % (1370123)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1824653929:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.44 % (1370121)dis+10_1_sil=32000:sp=arity:random_seed=2882900459:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.44 % (1370122)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3049405007:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.44 % (1370117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1636852098_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.44 % (1370124) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1370111-1370124"...
% 0.11/0.44 % (1370124)...printing done.
% 0.11/0.44 % (1370124)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (1370124)------------------------------
% 0.11/0.44 % (1370124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (1370124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (1370124)CaDiCaL version: 2.1.3
% 0.11/0.44 % (1370124)Termination reason: Refutation
% 0.11/0.44 % (1370124)Time elapsed: 0.011 s
% 0.11/0.44 % (1370124)Peak memory usage: 11 MB
% 0.11/0.44 % (1370124)Instructions burned: 32 (million)
% 0.11/0.44 % (1370111)Success in time 0.027 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------