%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD016-5 : 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 : n018.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 01:15:37 PM UTC 2026
% Result : Unsatisfiable 13.90s 2.82s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f29,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f32,negated_conjecture,
sum(a,u,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
sum(a,v,r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
sum(additive_identity,q,r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_9) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X0,X4,X5)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_86,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_87,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_110,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_111,plain,
defined(u),
inference(cnf_transformation,[],[f28]) ).
tcf(c_112,plain,
defined(v),
inference(cnf_transformation,[],[f29]) ).
tcf(c_115,negated_conjecture,
sum(a,u,q),
inference(cnf_transformation,[],[f32]) ).
tcf(c_116,negated_conjecture,
sum(a,v,r),
inference(cnf_transformation,[],[f33]) ).
tcf(c_117,negated_conjecture,
sum(additive_identity,q,r),
inference(cnf_transformation,[],[f34]) ).
tcf(c_118,negated_conjecture,
~ sum(additive_identity,u,v),
inference(cnf_transformation,[],[f35]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(additive_identity,u,v)
| ~ sum(additive_identity,X0,X2)
| ~ sum(X2,X1,v)
| ~ sum(X0,X1,u) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sum(X0,X4,u)
| ~ sum(X2,X3,u)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_343,plain,
( sum(additive_identity,u,u)
| ~ defined(u) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,u)
| ~ sum(X0,X1,u) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sum(X0,X4,v)
| ~ sum(X2,X3,v)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_353,plain,
( sum(additive_identity,v,v)
| ~ defined(v) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,v)
| ~ sum(X0,X1,v) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X0,X2,u)
| ~ sum(additive_identity,u,u)
| ~ sum(X1,u,X2)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X0,X2,v)
| ~ sum(additive_identity,v,v)
| ~ sum(X1,v,X2)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_351]) ).
tcf(c_2466,plain,
! [X0: $i] :
( sum(X0,q,u)
| ~ sum(additive_identity,u,u)
| ~ sum(a,u,q)
| ~ sum(X0,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_2498,plain,
! [X0: $i] :
( sum(X0,r,v)
| ~ sum(additive_identity,v,v)
| ~ sum(a,v,r)
| ~ sum(X0,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_9779,plain,
( sum(additive_inverse(a),q,u)
| ~ sum(additive_identity,u,u)
| ~ sum(a,u,q)
| ~ sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[c_2466]) ).
tcf(c_9780,plain,
( sum(additive_inverse(a),a,additive_identity)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_21882,plain,
( sum(q,additive_inverse(a),u)
| ~ sum(additive_inverse(a),q,u) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_22250,plain,
! [X0: $i] :
( sum(r,X0,v)
| ~ sum(X0,r,v) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_34431,plain,
( sum(additive_inverse(a),r,v)
| ~ sum(additive_identity,v,v)
| ~ sum(a,v,r)
| ~ sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[c_2498]) ).
tcf(c_38164,plain,
! [X0: $i] :
( sum(additive_identity,u,v)
| ~ sum(additive_identity,q,X0)
| ~ sum(q,additive_inverse(a),u)
| ~ sum(X0,additive_inverse(a),v) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_41048,plain,
( sum(r,additive_inverse(a),v)
| ~ sum(additive_inverse(a),r,v) ),
inference(instantiation,[status(thm)],[c_22250]) ).
tcf(c_42020,plain,
( sum(additive_identity,u,v)
| ~ sum(additive_identity,q,r)
| ~ sum(r,additive_inverse(a),v)
| ~ sum(q,additive_inverse(a),u) ),
inference(instantiation,[status(thm)],[c_38164]) ).
tcf(c_42021,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42020,c_41048,c_34431,c_21882,c_9780,c_9779,c_353,c_343,c_118,c_115,c_116,c_117,c_110,c_111,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD016-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 10:41:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 13.90/2.82 % SZS status Started for theBenchmark.p
% 13.90/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 13.90/2.82
% 13.90/2.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.90/2.82
% 13.90/2.82 % ------ iProver source info
% 13.90/2.82
% 13.90/2.82 % git: date: 2026-07-19 20:42:38 +0200
% 13.90/2.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.90/2.82 % git: non_committed_changes: false
% 13.90/2.82
% 13.90/2.82 % ------ Parsing...% successful
% 13.90/2.82
% 13.90/2.82
% 13.90/2.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 13.90/2.82
% 13.90/2.82 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 13.90/2.82
% 13.90/2.82 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.90/2.82 % ------ Proving...
% 13.90/2.82 % ------ Problem Properties
% 13.90/2.82
% 13.90/2.82 %
% 13.90/2.82 % clauses 35
% 13.90/2.82 % conjectures 4
% 13.90/2.82 % EPR 27
% 13.90/2.82 % Horn 32
% 13.90/2.82 % unary 12
% 13.90/2.82 % binary 6
% 13.90/2.82 % lits 86
% 13.90/2.82 % lits eq 0
% 13.90/2.82 % fd_pure 0
% 13.90/2.82 % fd_pseudo 0
% 13.90/2.82 % fd_cond 0
% 13.90/2.82 % fd_pseudo_cond 0
% 13.90/2.82 % AC symbols 0
% 13.90/2.82
% 13.90/2.82 % ------ Schedule dynamic 5 is on
% 13.90/2.82
% 13.90/2.82 % ------ no equalities: superposition off
% 13.90/2.82
% 13.90/2.82 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.90/2.82
% 13.90/2.82
% 13.90/2.82 % ------
% 13.90/2.82 % Current options:
% 13.90/2.82 % ------
% 13.90/2.82
% 13.90/2.82
% 13.90/2.82 %
% 13.90/2.82
% 13.90/2.82 % ------ Proving...
% 13.90/2.82 %
% 13.90/2.82
% 13.90/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 13.90/2.82
% 13.90/2.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.90/2.82
% 13.90/2.82
%------------------------------------------------------------------------------