%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 : Fri Sep 25 02:05:47 PM UTC 2026
% Result : Unsatisfiable 2.28s 1.27s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 26 :)
% 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(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_definition) ).
fof(f9,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).
fof(f15,axiom,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',and_star_definition) ).
fof(f16,plain,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',false_definition) ).
fof(f20,negated_conjecture,
and_star(x,falsehood) != falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f21,plain,
falsehood != and_star(x,falsehood),
inference(reorient_equations,[],[f20]) ).
fof(f24,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f16,f7]) ).
fof(f26,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f9,f7,f7]) ).
fof(f32,plain,
falsehood != not(implies(not(not(x)),not(falsehood))),
inference(definition_unfolding,[],[f21,f24]) ).
tcf(c_66,plain,
! [X0: $i] : implies(truth,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[],[f6]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : implies(not(X0),X1) = implies(not(X1),X0),
inference(cnf_transformation,[],[f26]) ).
tcf(c_77,plain,
not(truth) = falsehood,
inference(cnf_transformation,[],[f19]) ).
tcf(c_78,negated_conjecture,
not(implies(not(not(x)),not(falsehood))) != falsehood,
inference(cnf_transformation,[],[f32]) ).
tcf(c_110,plain,
not(implies(not(not(falsehood)),not(x))) != falsehood,
inference(demodulation,[status(thm)],[c_78,c_71]) ).
tcf(c_184,plain,
! [X0: $i] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[status(thm)],[c_77,c_71]) ).
tcf(c_196,plain,
! [X0: $i] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c_66,c_68]) ).
tcf(c_206,plain,
! [X0: $i] : implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(superposition,[status(thm)],[c_184,c_196]) ).
tcf(c_222,plain,
! [X0: $i] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c_66,c_69]) ).
tcf(c_231,plain,
! [X0: $i] : implies(implies(not(X0),falsehood),X0) = truth,
inference(light_normalisation,[status(thm)],[c_222,c_77]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_66,c_67]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(light_normalisation,[status(thm)],[c_299,c_66]) ).
tcf(c_666,plain,
! [X0: $i] : implies(implies(not(falsehood),X0),X0) = truth,
inference(superposition,[status(thm)],[c_71,c_231]) ).
tcf(c_667,plain,
implies(implies(falsehood,falsehood),truth) = truth,
inference(superposition,[status(thm)],[c_77,c_231]) ).
tcf(c_763,plain,
implies(not(falsehood),not(falsehood)) = truth,
inference(demodulation,[status(thm)],[c_667,c_206]) ).
tcf(c_793,plain,
implies(truth,not(falsehood)) = truth,
inference(superposition,[status(thm)],[c_763,c_666]) ).
tcf(c_817,plain,
not(falsehood) = truth,
inference(demodulation,[status(thm)],[c_793,c_66]) ).
tcf(c_818,plain,
! [X0: $i] : implies(implies(truth,X0),X0) = truth,
inference(demodulation,[status(thm)],[c_666,c_817]) ).
tcf(c_820,plain,
not(implies(not(truth),not(x))) != falsehood,
inference(demodulation,[status(thm)],[c_110,c_817]) ).
tcf(c_821,plain,
! [X0: $i] : implies(X0,X0) = truth,
inference(light_normalisation,[status(thm)],[c_818,c_66]) ).
tcf(c_822,plain,
not(implies(falsehood,not(x))) != falsehood,
inference(light_normalisation,[status(thm)],[c_820,c_77]) ).
tcf(c_823,plain,
! [X0: $i] : implies(implies(X0,truth),truth) = truth,
inference(demodulation,[status(thm)],[c_196,c_821]) ).
tcf(c_935,plain,
! [X0: $i] : implies(implies(falsehood,X0),truth) = truth,
inference(superposition,[status(thm)],[c_184,c_823]) ).
tcf(c_1040,plain,
! [X0: $i] : implies(not(X0),implies(implies(falsehood,X0),truth)) = truth,
inference(superposition,[status(thm)],[c_184,c_317]) ).
tcf(c_1062,plain,
! [X0: $i] : implies(falsehood,X0) = truth,
inference(light_normalisation,[status(thm)],[c_1040,c_184,c_935]) ).
tcf(c_1066,plain,
not(truth) != falsehood,
inference(demodulation,[status(thm)],[c_822,c_1062]) ).
tcf(c_1067,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1066,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n018.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Wed Sep 23 22:08:47 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running UEQ theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.28/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.28/1.27 % SZS status Started for theBenchmark.p
% 2.28/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.27
% 2.28/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.28/1.27
% 2.28/1.27 % ------ iProver source info
% 2.28/1.27
% 2.28/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.28/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.28/1.27 % git: non_committed_changes: false
% 2.28/1.27
% 2.28/1.27 % ------ Parsing...% successful
% 2.28/1.27
% 2.28/1.27
% 2.28/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.28/1.27
% 2.28/1.27 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.28/1.27
% 2.28/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.28/1.27
% 2.28/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.28/1.27 % ------ Proving...
% 2.28/1.27 % ------ Problem Properties
% 2.28/1.27
% 2.28/1.27 %
% 2.28/1.27 % clauses 10
% 2.28/1.27 % conjectures 0
% 2.28/1.27 % EPR 0
% 2.28/1.27 % Horn 10
% 2.28/1.27 % unary 10
% 2.28/1.27 % binary 0
% 2.28/1.27 % lits 10
% 2.28/1.27 % lits eq 10
% 2.28/1.27 % fd_pure 0
% 2.28/1.27 % fd_pseudo 0
% 2.28/1.27 % fd_cond 0
% 2.28/1.27 % fd_pseudo_cond 0
% 2.28/1.27 % AC symbols 0
% 2.28/1.27
% 2.28/1.27 % ------ Input Options Time Limit: Unbounded
% 2.28/1.27
% 2.28/1.27
% 2.28/1.27 % ------
% 2.28/1.27 % Current options:
% 2.28/1.27 % ------
% 2.28/1.27
% 2.28/1.27
% 2.28/1.27 %
% 2.28/1.27
% 2.28/1.27 % ------ Proving...
% 2.28/1.27 %
% 2.28/1.27
% 2.28/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.27
% 2.28/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.28/1.27
% 2.28/1.27
%------------------------------------------------------------------------------