%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD008-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 01:15:35 PM UTC 2026
% Result : Unsatisfiable 5.17s 11.75s
% Output : CNFRefutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 29 unt; 3 def)
% Number of atoms : 129 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 44 ~; 41 |; 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 : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 35 :)
% 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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f15,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,additive_inverse(c),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
tcf(c_82,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_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X5,X4)
| ~ sum(X1,X5,X3)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_84,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_96,plain,
! [X0: $i] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_108,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_109,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_110,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_112,negated_conjecture,
sum(a,b,c),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
sum(additive_inverse(a),additive_inverse(b),d),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ sum(additive_identity,additive_inverse(c),d),
inference(cnf_transformation,[],[f33]) ).
tcf(c_293,definition,
iPr_def_10 = additive_inverse(c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_294,definition,
iPr_def_11 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_295,definition,
iPr_def_12 = additive_inverse(b),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_296,negated_conjecture,
~ sum(additive_identity,iPr_def_10,d),
inference(demodulation,[status(thm)],[c_114,c_293]) ).
tcf(c_297,negated_conjecture,
sum(iPr_def_11,iPr_def_12,d),
inference(demodulation,[status(thm)],[c_113,c_295,c_294]) ).
tcf(c_298,negated_conjecture,
sum(a,b,c),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_747,plain,
( defined(iPr_def_12)
| ~ defined(b) ),
inference(superposition,[status(thm)],[c_295,c_96]) ).
tcf(c_750,plain,
defined(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_747,c_109]) ).
tcf(c_764,plain,
( sum(iPr_def_11,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_294,c_85]) ).
tcf(c_765,plain,
( sum(iPr_def_12,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[status(thm)],[c_295,c_85]) ).
tcf(c_766,plain,
( sum(iPr_def_10,c,additive_identity)
| ~ defined(c) ),
inference(superposition,[status(thm)],[c_293,c_85]) ).
tcf(c_767,plain,
sum(iPr_def_10,c,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_766,c_110]) ).
tcf(c_768,plain,
sum(iPr_def_12,b,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_765,c_109]) ).
tcf(c_769,plain,
sum(iPr_def_11,a,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_764,c_108]) ).
tcf(c_774,plain,
sum(b,a,c),
inference(superposition,[status(thm)],[c_298,c_86]) ).
tcf(c_775,plain,
! [X0: $i] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_84,c_86]) ).
tcf(c_1053,plain,
( sum(additive_identity,iPr_def_10,d)
| ~ sum(iPr_def_10,additive_identity,d) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(iPr_def_12,X1,X2)
| ~ sum(additive_identity,X0,X2)
| ~ sum(b,X0,X1) ),
inference(superposition,[status(thm)],[c_768,c_82]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(iPr_def_10,X1,X2)
| ~ sum(additive_identity,X0,X2)
| ~ sum(c,X0,X1) ),
inference(superposition,[status(thm)],[c_767,c_82]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X2,X1,d)
| ~ sum(iPr_def_11,X0,X2)
| ~ sum(X0,X1,iPr_def_12) ),
inference(superposition,[status(thm)],[c_297,c_83]) ).
tcf(c_1512,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X2,X1,additive_identity)
| ~ sum(iPr_def_11,X0,X2)
| ~ sum(X0,X1,a) ),
inference(superposition,[status(thm)],[c_769,c_83]) ).
tcf(c_1959,plain,
! [X0: $i] :
( sum(d,X0,d)
| ~ sum(iPr_def_12,X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_297,c_1511]) ).
tcf(c_2002,plain,
( sum(d,additive_identity,d)
| ~ defined(iPr_def_12) ),
inference(superposition,[status(thm)],[c_775,c_1959]) ).
tcf(c_2003,plain,
sum(d,additive_identity,d),
inference(forward_subsumption_resolution,[status(thm)],[c_2002,c_750]) ).
tcf(c_2162,plain,
! [X0: $i] :
( sum(iPr_def_12,c,X0)
| ~ sum(additive_identity,a,X0) ),
inference(superposition,[status(thm)],[c_774,c_1074]) ).
tcf(c_2640,plain,
sum(additive_identity,d,d),
inference(superposition,[status(thm)],[c_2003,c_86]) ).
tcf(c_3355,plain,
( sum(iPr_def_12,c,a)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_84,c_2162]) ).
tcf(c_3360,plain,
sum(iPr_def_12,c,a),
inference(forward_subsumption_resolution,[status(thm)],[c_3355,c_108]) ).
tcf(c_3411,plain,
! [X0: $i] :
( sum(iPr_def_10,X0,d)
| ~ sum(c,d,X0) ),
inference(superposition,[status(thm)],[c_2640,c_1075]) ).
tcf(c_3441,plain,
( sum(iPr_def_10,additive_identity,d)
| ~ sum(c,d,additive_identity) ),
inference(instantiation,[status(thm)],[c_3411]) ).
tcf(c_10946,plain,
! [X0: $i] :
( sum(d,X0,additive_identity)
| ~ sum(iPr_def_12,X0,a) ),
inference(superposition,[status(thm)],[c_297,c_1512]) ).
tcf(c_11457,plain,
sum(d,c,additive_identity),
inference(superposition,[status(thm)],[c_3360,c_10946]) ).
tcf(c_11464,plain,
sum(c,d,additive_identity),
inference(superposition,[status(thm)],[c_11457,c_86]) ).
tcf(c_11495,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11464,c_3441,c_1053,c_296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD008-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n026.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Fri Sep 25 10:38:22 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.45 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 5.17/11.75 % SZS status Started for theBenchmark.p
% 5.17/11.75 % SZS status Unsatisfiable for theBenchmark.p
% 5.17/11.75
% 5.17/11.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.17/11.75
% 5.17/11.75 % ------ iProver source info
% 5.17/11.75
% 5.17/11.75 % git: date: 2026-07-19 20:42:38 +0200
% 5.17/11.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.17/11.75 % git: non_committed_changes: false
% 5.17/11.75
% 5.17/11.75 % ------ Parsing...% successful
% 5.17/11.75
% 5.17/11.75
% 5.17/11.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.17/11.75
% 5.17/11.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.17/11.75
% 5.17/11.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.17/11.75
% 5.17/11.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.17/11.75 % ------ Proving...
% 5.17/11.75 % ------ Problem Properties
% 5.17/11.75
% 5.17/11.75 %
% 5.17/11.75 % clauses 36
% 5.17/11.75 % conjectures 3
% 5.17/11.75 % EPR 25
% 5.17/11.75 % Horn 33
% 5.17/11.75 % unary 13
% 5.17/11.75 % binary 6
% 5.17/11.75 % lits 87
% 5.17/11.75 % lits eq 3
% 5.17/11.75 % fd_pure 0
% 5.17/11.75 % fd_pseudo 0
% 5.17/11.75 % fd_cond 0
% 5.17/11.75 % fd_pseudo_cond 0
% 5.17/11.75 % AC symbols 0
% 5.17/11.75
% 5.17/11.75 % ------ Schedule dynamic 5 is on
% 5.17/11.75
% 5.17/11.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.17/11.75
% 5.17/11.75
% 5.17/11.75 % ------
% 5.17/11.75 % Current options:
% 5.17/11.75 % ------
% 5.17/11.75
% 5.17/11.75
% 5.17/11.75 %
% 5.17/11.75
% 5.17/11.75 % ------ Proving...
% 5.17/11.75 %
% 5.17/11.75
% 5.17/11.75 % SZS status Unsatisfiable for theBenchmark.p
% 5.17/11.75
% 5.17/11.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.17/11.75
% 5.17/11.75
%------------------------------------------------------------------------------