%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE075+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 01:52:20 PM UTC 2026
% Result : Theorem 1.05s 1.07s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 2 def)
% Number of atoms : 33 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 13 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(f18,conjecture,
! [X0] : domain(multiplication(one,domain(X0))) = domain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] : domain(multiplication(one,domain(X0))) = domain(X0),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] : domain(X0) != domain(multiplication(one,domain(X0))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
domain(sK0) != domain(multiplication(one,domain(sK0))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
domain(sK0) != domain(multiplication(one,domain(sK0))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f28]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_65,negated_conjecture,
domain(multiplication(one,domain(sK0))) != domain(sK0),
inference(cnf_transformation,[],[f38]) ).
tcf(c_115,plain,
domain(domain(sK0)) != domain(sK0),
inference(demodulation,[status(thm)],[c_65,c_55]) ).
tcf(c_121,definition,
iPr_def_10 = domain(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_122,definition,
iPr_def_11 = domain(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_123,plain,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_115,c_121,c_122]) ).
tcf(c_205,plain,
! [X0: $i] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[status(thm)],[c_55,c_61]) ).
tcf(c_213,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(light_normalisation,[status(thm)],[c_205,c_55]) ).
tcf(c_220,plain,
domain(iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_121,c_213]) ).
tcf(c_223,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_122,c_220]) ).
tcf(c_225,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_123,c_223]) ).
tcf(c_226,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KLE075+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Wed Sep 23 18:51:06 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.35 % Proving...
% 1.05/1.07 % SZS status Started for theBenchmark.p
% 1.05/1.07 % SZS status Theorem for theBenchmark.p
% 1.05/1.07
% 1.05/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.05/1.07
% 1.05/1.07 % ------ iProver source info
% 1.05/1.07
% 1.05/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.05/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.05/1.07 % git: non_committed_changes: false
% 1.05/1.07
% 1.05/1.07 % ------ Parsing...
% 1.05/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 1.05/1.07 %
% 1.05/1.07
% 1.05/1.07 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.05/1.07
% 1.05/1.07 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 1.05/1.07 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.05/1.07
% 1.05/1.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.05/1.07 % ------ Proving...
% 1.05/1.07 % ------ Problem Properties
% 1.05/1.07
% 1.05/1.07 %
% 1.05/1.07 % clauses 19
% 1.05/1.07 % conjectures 0
% 1.05/1.07 % EPR 1
% 1.05/1.07 % Horn 19
% 1.05/1.07 % unary 19
% 1.05/1.07 % binary 0
% 1.05/1.07 % lits 19
% 1.05/1.07 % lits eq 19
% 1.05/1.07 % fd_pure 0
% 1.05/1.07 % fd_pseudo 0
% 1.05/1.07 % fd_cond 0
% 1.05/1.07 % fd_pseudo_cond 0
% 1.05/1.07 % AC symbols 1
% 1.05/1.07
% 1.05/1.07 % ------ Schedule UEQ
% 1.05/1.07
% 1.05/1.07 % ------ Option_UEQ Time Limit: 10.
% 1.05/1.07
% 1.05/1.07
% 1.05/1.07 % ------
% 1.05/1.07 % Current options:
% 1.05/1.07 % ------
% 1.05/1.07
% 1.05/1.07
% 1.05/1.07 %
% 1.05/1.07
% 1.05/1.07 % ------ Proving...
% 1.05/1.07 %
% 1.05/1.07
% 1.05/1.07 % SZS status Theorem for theBenchmark.p
% 1.05/1.07
% 1.05/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.05/1.07
% 1.05/1.07
%------------------------------------------------------------------------------