%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG005-2 : 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 : n017.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 02:38:08 PM UTC 2026
% Result : Unsatisfiable 4.11s 6.31s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f23,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X2,X4,X6)
| ~ product(X5,X1,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f27,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f29,axiom,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f30,axiom,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f31,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
tcf(c_93,plain,
! [X0: $i] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[],[f14]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sum(X4,X5,X6)
| ~ product(X2,X3,X6)
| ~ product(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_106,plain,
! [X0: $i] : product(additive_identity,X0,additive_identity),
inference(cnf_transformation,[],[f27]) ).
tcf(c_108,plain,
product(a,b,d),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
product(additive_inverse(a),b,c),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
~ sum(c,d,additive_identity),
inference(cnf_transformation,[],[f31]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sum(c,d,additive_identity)
| ~ product(X2,X3,additive_identity)
| ~ product(X1,X3,d)
| ~ product(X0,X3,c)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i] :
( sum(c,d,additive_identity)
| ~ product(X1,b,additive_identity)
| ~ product(X0,b,d)
| ~ product(additive_inverse(a),b,c)
| ~ sum(additive_inverse(a),X0,X1) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_521,plain,
! [X0: $i] :
( sum(c,d,additive_identity)
| ~ product(a,b,d)
| ~ product(X0,b,additive_identity)
| ~ product(additive_inverse(a),b,c)
| ~ sum(additive_inverse(a),a,X0) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_522,plain,
( sum(c,d,additive_identity)
| ~ product(a,b,d)
| ~ product(additive_identity,b,additive_identity)
| ~ product(additive_inverse(a),b,c)
| ~ sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_1246,plain,
product(additive_identity,b,additive_identity),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_5277,plain,
sum(additive_inverse(a),a,additive_identity),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_5278,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5277,c_1246,c_522,c_109,c_110,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n017.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 07:36:53 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.44
% 0.14/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 4.11/6.31 % SZS status Started for theBenchmark.p
% 4.11/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/6.31
% 4.11/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/6.31
% 4.11/6.31 % ------ iProver source info
% 4.11/6.31
% 4.11/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/6.31 % git: non_committed_changes: false
% 4.11/6.31
% 4.11/6.31 % ------ Parsing...% successful
% 4.11/6.31
% 4.11/6.31
% 4.11/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/6.31
% 4.11/6.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.11/6.31
% 4.11/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/6.31 % ------ Proving...
% 4.11/6.31 % ------ Problem Properties
% 4.11/6.31
% 4.11/6.31 %
% 4.11/6.31 % clauses 31
% 4.11/6.31 % conjectures 1
% 4.11/6.31 % EPR 23
% 4.11/6.31 % Horn 31
% 4.11/6.31 % unary 11
% 4.11/6.31 % binary 4
% 4.11/6.31 % lits 79
% 4.11/6.31 % lits eq 0
% 4.11/6.31 % fd_pure 0
% 4.11/6.31 % fd_pseudo 0
% 4.11/6.31 % fd_cond 0
% 4.11/6.31 % fd_pseudo_cond 0
% 4.11/6.31 % AC symbols 0
% 4.11/6.31
% 4.11/6.31 % ------ Schedule dynamic 5 is on
% 4.11/6.31
% 4.11/6.31 % ------ no equalities: superposition off
% 4.11/6.31
% 4.11/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/6.31
% 4.11/6.31
% 4.11/6.31 % ------
% 4.11/6.31 % Current options:
% 4.11/6.31 % ------
% 4.11/6.31
% 4.11/6.31
% 4.11/6.31 %
% 4.11/6.31
% 4.11/6.31 % ------ Proving...
% 4.11/6.31 %
% 4.11/6.31
% 4.11/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/6.31
% 4.11/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/6.32
% 4.11/6.32
%------------------------------------------------------------------------------