%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG037-2 : 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 : n020.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 02:38:16 PM UTC 2026
% Result : Unsatisfiable 3.25s 1.39s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 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 : 31 ( 0 sgn 31 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f16,axiom,
! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X2,X4,X6)
| ~ product(X0,X5,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f26,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f27,axiom,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f28,axiom,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f29,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
tcf(c_90,plain,
! [X0: $i] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[],[f13]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sum(X4,X5,X6)
| ~ product(X3,X2,X6)
| ~ product(X3,X1,X5)
| ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_103,plain,
! [X0: $i] : product(X0,additive_identity,additive_identity),
inference(cnf_transformation,[],[f26]) ).
tcf(c_104,plain,
product(a,b,d),
inference(cnf_transformation,[],[f27]) ).
tcf(c_105,plain,
product(a,additive_inverse(b),c),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,negated_conjecture,
~ sum(c,d,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_272,plain,
( sum(c,d,additive_identity)
| ~ sum(d,c,additive_identity) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sum(d,c,additive_identity)
| ~ product(X3,X2,additive_identity)
| ~ product(X3,X1,c)
| ~ product(X3,X0,d)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] :
( sum(d,c,additive_identity)
| ~ product(a,b,d)
| ~ product(a,X1,additive_identity)
| ~ product(a,X0,c)
| ~ sum(b,X0,X1) ),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_1147,plain,
product(a,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_1646,plain,
! [X0: $i] :
( sum(d,c,additive_identity)
| ~ product(a,b,d)
| ~ product(a,X0,additive_identity)
| ~ product(a,additive_inverse(b),c)
| ~ sum(b,additive_inverse(b),X0) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_1647,plain,
( sum(d,c,additive_identity)
| ~ product(a,b,d)
| ~ product(a,additive_identity,additive_identity)
| ~ product(a,additive_inverse(b),c)
| ~ sum(b,additive_inverse(b),additive_identity) ),
inference(instantiation,[status(thm)],[c_1646]) ).
tcf(c_4247,plain,
sum(b,additive_inverse(b),additive_identity),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4248,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4247,c_1647,c_1147,c_272,c_105,c_106,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n020.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 07:56:03 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 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
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 3.25/1.39 % SZS status Started for theBenchmark.p
% 3.25/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.39
% 3.25/1.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.25/1.39
% 3.25/1.39 % ------ iProver source info
% 3.25/1.39
% 3.25/1.39 % git: date: 2026-07-19 20:42:38 +0200
% 3.25/1.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.25/1.39 % git: non_committed_changes: false
% 3.25/1.39
% 3.25/1.39 % ------ Parsing...% successful
% 3.25/1.39
% 3.25/1.39
% 3.25/1.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.25/1.39
% 3.25/1.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.25/1.39
% 3.25/1.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.25/1.39 % ------ Proving...
% 3.25/1.39 % ------ Problem Properties
% 3.25/1.39
% 3.25/1.39 %
% 3.25/1.39 % clauses 29
% 3.25/1.39 % conjectures 1
% 3.25/1.39 % EPR 22
% 3.25/1.39 % Horn 29
% 3.25/1.39 % unary 9
% 3.25/1.39 % binary 4
% 3.25/1.39 % lits 77
% 3.25/1.39 % lits eq 0
% 3.25/1.39 % fd_pure 0
% 3.25/1.39 % fd_pseudo 0
% 3.25/1.39 % fd_cond 0
% 3.25/1.39 % fd_pseudo_cond 0
% 3.25/1.39 % AC symbols 0
% 3.25/1.39
% 3.25/1.39 % ------ Schedule dynamic 5 is on
% 3.25/1.39
% 3.25/1.39 % ------ no equalities: superposition off
% 3.25/1.39
% 3.25/1.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.25/1.39
% 3.25/1.39
% 3.25/1.39 % ------
% 3.25/1.39 % Current options:
% 3.25/1.39 % ------
% 3.25/1.39
% 3.25/1.39
% 3.25/1.39 %
% 3.25/1.39
% 3.25/1.39 % ------ Proving...
% 3.25/1.39 %
% 3.25/1.39
% 3.25/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.39
% 3.25/1.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.25/1.39
% 3.25/1.39
%------------------------------------------------------------------------------