%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 02:05:42 PM UTC 2026
% Result : Unsatisfiable 6.41s 1.93s
% Output : CNFRefutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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,negated_conjecture,
implies(not(a),implies(b,not(implies(b,a)))) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_50) ).
fof(f8,plain,
truth != implies(not(a),implies(b,not(implies(b,a)))),
inference(reorient_equations,[],[f7]) ).
tcf(c_54,plain,
! [X0: $i] : implies(truth,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,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_56,plain,
! [X0: $i,X1: $i] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[],[f6]) ).
tcf(c_58,negated_conjecture,
implies(not(a),implies(b,not(implies(b,a)))) != truth,
inference(cnf_transformation,[],[f8]) ).
tcf(c_229,plain,
! [X0: $i] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c_54,c_57]) ).
tcf(c_259,plain,
! [X0: $i] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] : implies(implies(X0,implies(not(X1),not(truth))),implies(truth,implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_229,c_55]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] : implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(light_normalisation,[status(thm)],[c_460,c_54]) ).
tcf(c_856,plain,
! [X0: $i] : implies(X0,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[c_259,c_492]) ).
tcf(c_881,plain,
! [X0: $i] : implies(implies(truth,X0),X0) = truth,
inference(superposition,[status(thm)],[c_492,c_54]) ).
tcf(c_899,plain,
! [X0: $i] : implies(X0,X0) = truth,
inference(light_normalisation,[status(thm)],[c_881,c_54]) ).
tcf(c_969,plain,
! [X0: $i] : implies(X0,truth) = truth,
inference(light_normalisation,[status(thm)],[c_856,c_899]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(superposition,[status(thm)],[c_969,c_55]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(light_normalisation,[status(thm)],[c_984,c_54]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i] : implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_996,c_54]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] : implies(implies(X0,implies(not(X1),not(truth))),implies(X0,X1)) = truth,
inference(demodulation,[status(thm)],[c_456,c_54]) ).
tcf(c_1300,plain,
! [X0: $i] : implies(truth,implies(not(truth),X0)) = truth,
inference(superposition,[status(thm)],[c_1034,c_1291]) ).
tcf(c_1353,plain,
! [X0: $i] : implies(not(truth),X0) = truth,
inference(demodulation,[status(thm)],[c_1300,c_54]) ).
tcf(c_1366,plain,
! [X0: $i] : implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
inference(superposition,[status(thm)],[c_1353,c_56]) ).
tcf(c_1377,plain,
! [X0: $i] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(light_normalisation,[status(thm)],[c_1366,c_54]) ).
tcf(c_1414,plain,
not(not(truth)) = truth,
inference(superposition,[status(thm)],[c_1377,c_229]) ).
tcf(c_1677,plain,
! [X0: $i] : implies(implies(truth,not(X0)),implies(X0,not(truth))) = truth,
inference(superposition,[status(thm)],[c_1414,c_57]) ).
tcf(c_1689,plain,
! [X0: $i] : implies(not(X0),implies(X0,not(truth))) = truth,
inference(demodulation,[status(thm)],[c_1677,c_54]) ).
tcf(c_1714,plain,
! [X0: $i] : implies(truth,implies(not(not(X0)),X0)) = truth,
inference(superposition,[status(thm)],[c_1689,c_1291]) ).
tcf(c_1779,plain,
! [X0: $i] : implies(not(not(X0)),X0) = truth,
inference(demodulation,[status(thm)],[c_1714,c_54]) ).
tcf(c_1794,plain,
! [X0: $i] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(superposition,[status(thm)],[c_1779,c_57]) ).
tcf(c_1824,plain,
! [X0: $i] : implies(X0,not(not(X0))) = truth,
inference(demodulation,[status(thm)],[c_1794,c_54]) ).
tcf(c_1841,plain,
! [X0: $i] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[status(thm)],[c_1824,c_56]) ).
tcf(c_1845,plain,
! [X0: $i] : implies(truth,not(not(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_1841,c_54,c_1779]) ).
tcf(c_1854,plain,
! [X0: $i] : not(not(X0)) = X0,
inference(demodulation,[status(thm)],[c_1845,c_54]) ).
tcf(c_1866,plain,
! [X0: $i,X1: $i] : implies(implies(X0,not(X1)),implies(X1,not(X0))) = truth,
inference(superposition,[status(thm)],[c_1854,c_57]) ).
tcf(c_1988,plain,
! [X0: $i,X1: $i] : implies(implies(implies(X0,not(X1)),implies(X1,not(X0))),implies(X1,not(X0))) = implies(truth,implies(X0,not(X1))),
inference(superposition,[status(thm)],[c_1866,c_56]) ).
tcf(c_1990,plain,
! [X0: $i,X1: $i] : implies(truth,implies(X0,not(X1))) = implies(truth,implies(X1,not(X0))),
inference(light_normalisation,[status(thm)],[c_1988,c_1866]) ).
tcf(c_8384,plain,
! [X0: $i,X1: $i] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(demodulation,[status(thm)],[c_1990,c_54]) ).
tcf(c_8538,plain,
! [X0: $i,X1: $i] : implies(X0,implies(implies(X1,not(X0)),not(X1))) = truth,
inference(superposition,[status(thm)],[c_8384,c_492]) ).
tcf(c_9117,plain,
! [X0: $i,X1: $i] : implies(X0,implies(X1,not(implies(X1,not(X0))))) = truth,
inference(demodulation,[status(thm)],[c_8538,c_8384]) ).
tcf(c_9137,plain,
! [X0: $i,X1: $i] : implies(not(X0),implies(X1,not(implies(X1,X0)))) = truth,
inference(superposition,[status(thm)],[c_1854,c_9117]) ).
tcf(c_9208,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_9137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n009.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 : Wed Sep 23 21:59:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.43 Running UEQ theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.13/0.47 % Proving...
% 6.41/1.93 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 6.41/1.93 % SZS status Started for theBenchmark.p
% 6.41/1.93 % SZS status Unsatisfiable for theBenchmark.p
% 6.41/1.93
% 6.41/1.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.41/1.93
% 6.41/1.93 % ------ iProver source info
% 6.41/1.93
% 6.41/1.93 % git: date: 2026-07-19 20:42:38 +0200
% 6.41/1.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.41/1.93 % git: non_committed_changes: false
% 6.41/1.93
% 6.41/1.93 % ------ Parsing...% successful
% 6.41/1.93
% 6.41/1.93
% 6.41/1.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.41/1.93
% 6.41/1.93 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.41/1.93
% 6.41/1.93 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.41/1.93
% 6.41/1.93 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.41/1.93 % ------ Proving...
% 6.41/1.93 % ------ Problem Properties
% 6.41/1.93
% 6.41/1.93 %
% 6.41/1.93 % clauses 5
% 6.41/1.93 % conjectures 1
% 6.41/1.93 % EPR 0
% 6.41/1.93 % Horn 5
% 6.41/1.93 % unary 5
% 6.41/1.93 % binary 0
% 6.41/1.93 % lits 5
% 6.41/1.93 % lits eq 5
% 6.41/1.93 % fd_pure 0
% 6.41/1.93 % fd_pseudo 0
% 6.41/1.93 % fd_cond 0
% 6.41/1.93 % fd_pseudo_cond 0
% 6.41/1.93 % AC symbols 0
% 6.41/1.93
% 6.41/1.93 % ------ Input Options Time Limit: Unbounded
% 6.41/1.93
% 6.41/1.93
% 6.41/1.93 % ------
% 6.41/1.93 % Current options:
% 6.41/1.93 % ------
% 6.41/1.93
% 6.41/1.93
% 6.41/1.93 %
% 6.41/1.93
% 6.41/1.93 % ------ Proving...
% 6.41/1.93 %
% 6.41/1.93
% 6.41/1.93 % SZS status Unsatisfiable for theBenchmark.p
% 6.41/1.93
% 6.41/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.41/1.93
% 6.41/1.93
%------------------------------------------------------------------------------