%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 03:32:50 PM UTC 2026
% Result : Unsatisfiable 0.61s 1.38s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f6,axiom,
! [X0] : plus_not_idem(X0) = impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f9,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f10,plain,
bfalse = eq2(btrue,bfalse),
inference(reorient_equations,[],[f9]) ).
fof(f16,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f17,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f19,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
! [X0] : eq2(plus_not_idem(X0),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f21,plain,
! [X0] : btrue != eq2(plus_not_idem(X0),bfalse),
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
! [X0] : btrue != eq2(impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),bfalse),
inference(definition_unfolding,[],[f21,f6]) ).
tcf(c_62,plain,
! [X0: $i] : impl(btrue,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i] : x2(z,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
eq2(btrue,bfalse) = bfalse,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
! [X0: $i] : eq(X0,X0) = btrue,
inference(cnf_transformation,[],[f17]) ).
tcf(c_72,plain,
! [X0: $i] : eq2(X0,X0) = btrue,
inference(cnf_transformation,[],[f19]) ).
tcf(c_73,negated_conjecture,
! [X0: $i] : eq2(impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),bfalse) != btrue,
inference(cnf_transformation,[],[f22]) ).
tcf(c_108,plain,
! [X0: $i] : eq2(impl(eq(x2(X0,X0),X0),bfalse),bfalse) != btrue,
inference(light_normalisation,[status(thm)],[c_73,c_67]) ).
tcf(c_188,plain,
eq2(impl(eq(z,z),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_64,c_108]) ).
tcf(c_189,plain,
$false,
inference(ground_joinability,[status(thm)],[c_188,c_62,c_71,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 23:38:47 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.48 Running UEQ theorem proving
% 0.17/0.48 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
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 0.61/1.38 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.61/1.38 % SZS status Started for theBenchmark.p
% 0.61/1.38 % SZS status Unsatisfiable for theBenchmark.p
% 0.61/1.38
% 0.61/1.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.61/1.38
% 0.61/1.38 % ------ iProver source info
% 0.61/1.38
% 0.61/1.38 % git: date: 2026-07-19 20:42:38 +0200
% 0.61/1.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.61/1.38 % git: non_committed_changes: false
% 0.61/1.38
% 0.61/1.38 % ------ Parsing...% successful
% 0.61/1.38
% 0.61/1.38
% 0.61/1.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.61/1.38
% 0.61/1.38 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.61/1.38
% 0.61/1.38 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.61/1.38
% 0.61/1.38 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.61/1.38 % ------ Proving...
% 0.61/1.38 % ------ Problem Properties
% 0.61/1.38
% 0.61/1.38 %
% 0.61/1.38 % clauses 12
% 0.61/1.38 % conjectures 0
% 0.61/1.38 % EPR 0
% 0.61/1.38 % Horn 12
% 0.61/1.38 % unary 12
% 0.61/1.38 % binary 0
% 0.61/1.38 % lits 12
% 0.61/1.38 % lits eq 12
% 0.61/1.38 % fd_pure 0
% 0.61/1.38 % fd_pseudo 0
% 0.61/1.38 % fd_cond 0
% 0.61/1.38 % fd_pseudo_cond 0
% 0.61/1.38 % AC symbols 0
% 0.61/1.38
% 0.61/1.38 % ------ Input Options Time Limit: Unbounded
% 0.61/1.38
% 0.61/1.38
% 0.61/1.38 % ------
% 0.61/1.38 % Current options:
% 0.61/1.38 % ------
% 0.61/1.38
% 0.61/1.38
% 0.61/1.38 %
% 0.61/1.38
% 0.61/1.38 % ------ Proving...
% 0.61/1.38 %
% 0.61/1.38
% 0.61/1.38 % SZS status Unsatisfiable for theBenchmark.p
% 0.61/1.38
% 0.61/1.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.61/1.39
% 0.61/1.39
%------------------------------------------------------------------------------