%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL111-2 : 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 : n015.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 02:05:41 PM UTC 2026
% Result : Unsatisfiable 8.16s 1.63s
% Output : CNFRefutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 24 :)
% 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(f7,negated_conjecture,
implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_25) ).
fof(f8,plain,
truth != implies(implies(x,y),implies(implies(z,x),implies(z,y))),
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_58,negated_conjecture,
implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth,
inference(cnf_transformation,[],[f8]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : implies(truth,implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = truth,
inference(superposition,[status(thm)],[c_55,c_55]) ).
tcf(c_1337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)) = truth,
inference(demodulation,[status(thm)],[c_1325,c_54]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(implies(implies(X0,X1),implies(truth,X1)),X2),implies(X0,X2)) = truth,
inference(superposition,[status(thm)],[c_54,c_1337]) ).
tcf(c_6242,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)) = truth,
inference(demodulation,[status(thm)],[c_6174,c_54]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i,X2: $i] : implies(truth,implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = truth,
inference(superposition,[status(thm)],[c_1337,c_6242]) ).
tcf(c_8917,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))) = truth,
inference(demodulation,[status(thm)],[c_8700,c_54]) ).
tcf(c_8996,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_8917]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 22:01:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running UEQ theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 8.16/1.63 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.16/1.63 % SZS status Started for theBenchmark.p
% 8.16/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.63
% 8.16/1.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.16/1.63
% 8.16/1.63 % ------ iProver source info
% 8.16/1.63
% 8.16/1.63 % git: date: 2026-07-19 20:42:38 +0200
% 8.16/1.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.16/1.63 % git: non_committed_changes: false
% 8.16/1.63
% 8.16/1.63 % ------ Parsing...% successful
% 8.16/1.63
% 8.16/1.63
% 8.16/1.63 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.16/1.63 % ------ Proving...
% 8.16/1.63 % ------ Problem Properties
% 8.16/1.63
% 8.16/1.63 %
% 8.16/1.63 % clauses 5
% 8.16/1.63 % conjectures 1
% 8.16/1.63 % EPR 0
% 8.16/1.63 % Horn 5
% 8.16/1.63 % unary 5
% 8.16/1.63 % binary 0
% 8.16/1.63 % lits 5
% 8.16/1.63 % lits eq 5
% 8.16/1.63 % fd_pure 0
% 8.16/1.63 % fd_pseudo 0
% 8.16/1.63 % fd_cond 0
% 8.16/1.63 % fd_pseudo_cond 0
% 8.16/1.63 % AC symbols 0
% 8.16/1.63
% 8.16/1.63 % ------ Input Options Time Limit: Unbounded
% 8.16/1.63
% 8.16/1.63
% 8.16/1.63 % ------
% 8.16/1.63 % Current options:
% 8.16/1.63 % ------
% 8.16/1.63
% 8.16/1.63
% 8.16/1.63 %
% 8.16/1.63
% 8.16/1.63 % ------ Proving...
% 8.16/1.63 %
% 8.16/1.63
% 8.16/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.63
% 8.16/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.16/1.63
% 8.16/1.63
%------------------------------------------------------------------------------