%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL141-1 : 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 : n001.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 02:05:45 PM UTC 2026
% Result : Unsatisfiable 0.62s 1.08s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% 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 ( 3 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 : 71 ( 0 sgn 71 !; 0 ?; 58 :)
% 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,negated_conjecture,
implies(not(x),not(y)) != implies(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
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(x),not(y)) != implies(y,x),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c_54,c_57]) ).
tcf(c_70,plain,
! [X0: $i] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : implies(truth,implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))) = truth,
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))) = truth,
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_86,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_98,plain,
! [X0: $i,X1: $i] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(demodulation,[status(thm)],[c_86,c_54]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))) = truth,
inference(demodulation,[status(thm)],[c_85,c_54]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(demodulation,[status(thm)],[c_78,c_54]) ).
tcf(c_198,plain,
! [X0: $i] : implies(X0,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[c_70,c_98]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] : implies(implies(X0,X1),implies(implies(implies(X1,X0),X0),X1)) = truth,
inference(superposition,[status(thm)],[c_56,c_98]) ).
tcf(c_209,plain,
! [X0: $i] : implies(implies(truth,X0),X0) = truth,
inference(superposition,[status(thm)],[c_98,c_54]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] : implies(implies(X0,truth),implies(truth,implies(X1,implies(X0,X1)))) = truth,
inference(superposition,[status(thm)],[c_81,c_98]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] : implies(implies(X0,implies(not(X1),not(truth))),implies(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_393,plain,
! [X0: $i] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(superposition,[status(thm)],[c_67,c_101]) ).
tcf(c_448,plain,
! [X0: $i] : implies(X0,X0) = truth,
inference(demodulation,[status(thm)],[c_209,c_54]) ).
tcf(c_449,plain,
! [X0: $i] : implies(X0,truth) = truth,
inference(demodulation,[status(thm)],[c_198,c_448]) ).
tcf(c_459,plain,
! [X0: $i] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(demodulation,[status(thm)],[c_393,c_54]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] : implies(truth,implies(truth,implies(X0,implies(X1,X0)))) = truth,
inference(demodulation,[status(thm)],[c_240,c_449]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i] : implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_460,c_54]) ).
tcf(c_1011,plain,
implies(implies(not(truth),not(not(truth))),implies(truth,not(not(truth)))) = truth,
inference(superposition,[status(thm)],[c_67,c_201]) ).
tcf(c_1054,plain,
! [X0: $i] : implies(truth,implies(not(truth),X0)) = truth,
inference(superposition,[status(thm)],[c_461,c_362]) ).
tcf(c_1185,plain,
! [X0: $i] : implies(not(truth),X0) = truth,
inference(demodulation,[status(thm)],[c_1054,c_54]) ).
tcf(c_1197,plain,
implies(truth,implies(truth,not(not(truth)))) = truth,
inference(demodulation,[status(thm)],[c_1011,c_1185]) ).
tcf(c_1198,plain,
not(not(truth)) = truth,
inference(demodulation,[status(thm)],[c_1197,c_54]) ).
tcf(c_1256,plain,
! [X0: $i] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(demodulation,[status(thm)],[c_459,c_1198]) ).
tcf(c_1257,plain,
! [X0: $i] : implies(not(not(X0)),X0) = truth,
inference(demodulation,[status(thm)],[c_1256,c_54]) ).
tcf(c_1978,plain,
! [X0: $i] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(superposition,[status(thm)],[c_1257,c_57]) ).
tcf(c_2258,plain,
! [X0: $i] : implies(X0,not(not(X0))) = truth,
inference(demodulation,[status(thm)],[c_1978,c_54]) ).
tcf(c_2410,plain,
! [X0: $i] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[status(thm)],[c_2258,c_56]) ).
tcf(c_2685,plain,
! [X0: $i] : not(not(X0)) = X0,
inference(demodulation,[status(thm)],[c_2410,c_54,c_1257]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i] : implies(implies(X0,not(X1)),implies(X1,not(X0))) = truth,
inference(superposition,[status(thm)],[c_2685,c_57]) ).
tcf(c_4968,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_2784,c_56]) ).
tcf(c_5001,plain,
! [X0: $i,X1: $i] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(demodulation,[status(thm)],[c_4968,c_54,c_2784]) ).
tcf(c_5018,plain,
implies(y,not(not(x))) != implies(y,x),
inference(demodulation,[status(thm)],[c_58,c_5001]) ).
tcf(c_5022,plain,
$false,
inference(ground_joinability,[status(thm)],[c_5018,c_2685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 22:10:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running UEQ theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 0.62/1.08 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.62/1.08 % SZS status Started for theBenchmark.p
% 0.62/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.62/1.08
% 0.62/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.62/1.08
% 0.62/1.08 % ------ iProver source info
% 0.62/1.08
% 0.62/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 0.62/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.62/1.08 % git: non_committed_changes: false
% 0.62/1.08
% 0.62/1.08 % ------ Parsing...% successful
% 0.62/1.08
% 0.62/1.08
% 0.62/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.62/1.08 % ------ Proving...
% 0.62/1.08 % ------ Problem Properties
% 0.62/1.08
% 0.62/1.08 %
% 0.62/1.08 % clauses 5
% 0.62/1.08 % conjectures 1
% 0.62/1.08 % EPR 0
% 0.62/1.08 % Horn 5
% 0.62/1.08 % unary 5
% 0.62/1.08 % binary 0
% 0.62/1.08 % lits 5
% 0.62/1.08 % lits eq 5
% 0.62/1.08 % fd_pure 0
% 0.62/1.08 % fd_pseudo 0
% 0.62/1.08 % fd_cond 0
% 0.62/1.08 % fd_pseudo_cond 0
% 0.62/1.08 % AC symbols 0
% 0.62/1.08
% 0.62/1.08 % ------ Input Options Time Limit: Unbounded
% 0.62/1.08
% 0.62/1.08
% 0.62/1.08 % ------
% 0.62/1.08 % Current options:
% 0.62/1.08 % ------
% 0.62/1.08
% 0.62/1.08
% 0.62/1.08 %
% 0.62/1.08
% 0.62/1.08 % ------ Proving...
% 0.62/1.08 %
% 0.62/1.08
% 0.62/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.62/1.08
% 0.62/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.62/1.08
% 0.62/1.08
%------------------------------------------------------------------------------