%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:15:42 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.30s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 18 unt; 1 def)
% Number of atoms : 74 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f16,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
fof(f20,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| product(X0,X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(d,b,multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X0,X4,X5)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,plain,
! [X0: $i] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( defined(multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_106,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,negated_conjecture,
product(multiplicative_identity,a,d),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
~ product(d,b,multiply(a,b)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_285,definition,
iPr_def_10 = multiply(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_286,negated_conjecture,
~ product(d,b,iPr_def_10),
inference(demodulation,[status(thm)],[c_110,c_285]) ).
tcf(c_287,negated_conjecture,
product(multiplicative_identity,a,d),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_764,plain,
product(a,multiplicative_identity,d),
inference(superposition,[status(thm)],[c_287,c_89]) ).
tcf(c_765,plain,
! [X0: $i] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_87,c_89]) ).
tcf(c_787,plain,
( defined(iPr_def_10)
| ~ defined(b)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_285,c_95]) ).
tcf(c_788,plain,
defined(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_787,c_107,c_106]) ).
tcf(c_818,plain,
( product(a,b,iPr_def_10)
| ~ defined(b)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_285,c_99]) ).
tcf(c_820,plain,
product(a,b,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_818,c_107,c_106]) ).
tcf(c_876,plain,
product(b,a,iPr_def_10),
inference(superposition,[status(thm)],[c_820,c_89]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(b,X1,X2)
| ~ product(iPr_def_10,X0,X2)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_876,c_85]) ).
tcf(c_2469,plain,
! [X0: $i] :
( product(b,d,X0)
| ~ product(iPr_def_10,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_764,c_1242]) ).
tcf(c_2787,plain,
( product(b,d,iPr_def_10)
| ~ defined(iPr_def_10) ),
inference(superposition,[status(thm)],[c_765,c_2469]) ).
tcf(c_2791,plain,
product(b,d,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2787,c_788]) ).
tcf(c_3148,plain,
product(d,b,iPr_def_10),
inference(superposition,[status(thm)],[c_2791,c_89]) ).
tcf(c_3151,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3148,c_286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 10:44:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.23/1.30 % SZS status Started for theBenchmark.p
% 1.23/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.30
% 1.23/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.23/1.30
% 1.23/1.30 % ------ iProver source info
% 1.23/1.30
% 1.23/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.23/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.23/1.30 % git: non_committed_changes: false
% 1.23/1.30
% 1.23/1.30 % ------ Parsing...% successful
% 1.23/1.30
% 1.23/1.30
% 1.23/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.23/1.30
% 1.23/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.23/1.30
% 1.23/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.23/1.30
% 1.23/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.23/1.30 % ------ Proving...
% 1.23/1.30 % ------ Problem Properties
% 1.23/1.30
% 1.23/1.30 %
% 1.23/1.30 % clauses 32
% 1.23/1.30 % conjectures 2
% 1.23/1.30 % EPR 23
% 1.23/1.30 % Horn 29
% 1.23/1.30 % unary 9
% 1.23/1.30 % binary 6
% 1.23/1.30 % lits 83
% 1.23/1.30 % lits eq 1
% 1.23/1.30 % fd_pure 0
% 1.23/1.30 % fd_pseudo 0
% 1.23/1.30 % fd_cond 0
% 1.23/1.30 % fd_pseudo_cond 0
% 1.23/1.30 % AC symbols 0
% 1.23/1.30
% 1.23/1.30 % ------ Schedule dynamic 5 is on
% 1.23/1.30
% 1.23/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.23/1.30
% 1.23/1.30
% 1.23/1.30 % ------
% 1.23/1.30 % Current options:
% 1.23/1.30 % ------
% 1.23/1.30
% 1.23/1.30
% 1.23/1.30 %
% 1.23/1.30
% 1.23/1.30 % ------ Proving...
% 1.23/1.30 %
% 1.23/1.30
% 1.23/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.30
% 1.23/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/1.30
% 4.33/1.30
%------------------------------------------------------------------------------