%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL109-5 : 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 : n003.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 11:57:40 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 20 unt; 0 def)
% Number of atoms : 40 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
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,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ordered(implies(X0,X2),implies(X1,X2))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_1) ).
fof(f23,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_4) ).
fof(f24,plain,
truth != big_V(implies(x,y),implies(y,x)),
inference(reorient_equations,[],[f23]) ).
fof(f30,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f24,f8]) ).
fof(f31,plain,
! [X0] :
( truth != X0
| ordered(truth,X0) ),
inference(superposition,[],[f13,f1]) ).
fof(f32,plain,
ordered(truth,truth),
inference(equality_resolution,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ordered(X0,implies(X1,X0))
| ~ ordered(truth,X1) ),
inference(superposition,[],[f14,f1]) ).
fof(f35,plain,
! [X0,X1] :
( ordered(implies(X1,X0),X0)
| ~ ordered(X1,truth) ),
inference(superposition,[],[f14,f1]) ).
fof(f43,plain,
! [X0] :
( ordered(X0,X0)
| ~ ordered(truth,truth) ),
inference(superposition,[],[f34,f1]) ).
fof(f44,plain,
! [X0] : ordered(X0,X0),
inference(forward_subsumption_resolution,[],[f43,f32]) ).
fof(f49,plain,
! [X0] : truth = implies(X0,X0),
inference(resolution,[],[f44,f11]) ).
fof(f50,plain,
! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1)),
inference(resolution,[],[f44,f16]) ).
fof(f60,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f4,f1]) ).
fof(f75,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[],[f60,f49]) ).
fof(f221,plain,
! [X0] : ordered(X0,truth),
inference(superposition,[],[f50,f75]) ).
fof(f376,plain,
! [X0,X1] : ordered(implies(X1,X0),X0),
inference(forward_subsumption_resolution,[],[f35,f221]) ).
fof(f380,plain,
! [X0] : ordered(truth,X0),
inference(superposition,[],[f376,f49]) ).
fof(f403,plain,
! [X0] : truth = implies(truth,X0),
inference(resolution,[],[f380,f11]) ).
fof(f521,plain,
! [X0] : truth = X0,
inference(superposition,[],[f403,f1]) ).
fof(f607,plain,
truth != truth,
inference(superposition,[],[f30,f521]) ).
fof(f642,plain,
$false,
inference(trivial_inequality_removal,[],[f607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:24:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.16/0.47 % (697568)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (697581)dis+10_1_sil=32000:sp=arity:random_seed=4217166437:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (697578)% WARNING: option uhcvi not known.
% 0.16/0.47 % (697577)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3011846898_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (697578)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=742877627:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (697580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=568066453:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (697583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1700149956:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (697582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1288831387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (697584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2512502815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (697581) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-697568-697581"...
% 0.16/0.47 % (697581)...printing done.
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (697581)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (697581)------------------------------
% 0.16/0.47 % (697581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (697581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (697581)CaDiCaL version: 2.1.3
% 0.16/0.47 % (697581)Termination reason: Refutation
% 0.16/0.47 % (697581)Time elapsed: 0.009 s
% 0.16/0.47 % (697581)Peak memory usage: 12 MB
% 0.16/0.47 % (697581)Instructions burned: 24 (million)
% 0.16/0.47 % (697568)Success in time 0.036 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------