%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD022-3 : 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 : n001.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 01:15:39 PM UTC 2026
% Result : Unsatisfiable 3.32s 1.29s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 42 ~; 26 |; 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 : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 24 :)
% 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(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(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,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,a,b),
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_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_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,c,u),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
sum(b,c,u),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ sum(additive_identity,a,b),
inference(cnf_transformation,[],[f33]) ).
tcf(c_309,plain,
~ sum(a,additive_identity,b),
inference(resolution,[status(thm)],[c_86,c_114]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sum(a,X0,X2)
| ~ sum(X2,X1,b)
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[status(thm)],[c_82,c_309]) ).
tcf(c_469,plain,
sum(c,b,u),
inference(superposition,[status(thm)],[c_113,c_86]) ).
tcf(c_866,plain,
! [X0: $i] :
( ~ sum(u,X0,b)
| ~ sum(c,X0,additive_identity) ),
inference(resolution,[status(thm)],[c_369,c_112]) ).
tcf(c_949,plain,
! [X0: $i] :
( ~ sum(c,X0,additive_identity)
| ~ sum(X0,u,b) ),
inference(resolution,[status(thm)],[c_866,c_86]) ).
tcf(c_1050,plain,
! [X0: $i] :
( ~ sum(X0,u,b)
| ~ sum(X0,c,additive_identity) ),
inference(resolution,[status(thm)],[c_949,c_86]) ).
tcf(c_1199,plain,
! [X0: $i] :
( ~ sum(u,X0,b)
| ~ sum(X0,c,additive_identity) ),
inference(resolution,[status(thm)],[c_1050,c_86]) ).
tcf(c_1331,plain,
( ~ defined(c)
| ~ sum(u,additive_inverse(c),b) ),
inference(resolution,[status(thm)],[c_1199,c_85]) ).
tcf(c_1332,plain,
~ sum(u,additive_inverse(c),b),
inference(global_subsumption_just,[status(thm)],[c_1331,c_110,c_1331]) ).
tcf(c_1350,plain,
~ sum(additive_inverse(c),u,b),
inference(resolution,[status(thm)],[c_1332,c_86]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sum(X1,X2,b)
| ~ sum(X0,X2,u)
| ~ sum(additive_inverse(c),X0,X1) ),
inference(resolution,[status(thm)],[c_1350,c_82]) ).
tcf(c_9356,plain,
! [X0: $i] :
( ~ defined(b)
| ~ sum(X0,b,u)
| ~ sum(additive_inverse(c),X0,additive_identity) ),
inference(resolution,[status(thm)],[c_1352,c_84]) ).
tcf(c_9358,plain,
! [X0: $i] :
( ~ sum(additive_inverse(c),X0,additive_identity)
| ~ sum(X0,b,u) ),
inference(global_subsumption_just,[status(thm)],[c_9356,c_109,c_9356]) ).
tcf(c_9359,plain,
! [X0: $i] :
( ~ sum(X0,b,u)
| ~ sum(additive_inverse(c),X0,additive_identity) ),
inference(renaming,[status(thm)],[c_9358]) ).
tcf(c_9460,plain,
( ~ defined(c)
| ~ sum(c,b,u) ),
inference(resolution,[status(thm)],[c_9359,c_85]) ).
tcf(c_9461,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9460,c_469,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.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 10:45:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.32/1.29 % SZS status Started for theBenchmark.p
% 3.32/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/1.29
% 3.32/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/1.29
% 3.32/1.29 % ------ iProver source info
% 3.32/1.29
% 3.32/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.32/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/1.29 % git: non_committed_changes: false
% 3.32/1.29
% 3.32/1.29 % ------ Parsing...% successful
% 3.32/1.29
% 3.32/1.29
% 3.32/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.32/1.29
% 3.32/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.32/1.29
% 3.32/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.32/1.29 % ------ Proving...
% 3.32/1.29 % ------ Problem Properties
% 3.32/1.29
% 3.32/1.29 %
% 3.32/1.29 % clauses 33
% 3.32/1.29 % conjectures 3
% 3.32/1.29 % EPR 25
% 3.32/1.29 % Horn 30
% 3.32/1.29 % unary 10
% 3.32/1.29 % binary 6
% 3.32/1.29 % lits 84
% 3.32/1.29 % lits eq 0
% 3.32/1.29 % fd_pure 0
% 3.32/1.29 % fd_pseudo 0
% 3.32/1.29 % fd_cond 0
% 3.32/1.29 % fd_pseudo_cond 0
% 3.32/1.29 % AC symbols 0
% 3.32/1.29
% 3.32/1.29 % ------ Input Options Time Limit: Unbounded
% 3.32/1.29
% 3.32/1.29
% 3.32/1.29 % ------
% 3.32/1.29 % Current options:
% 3.32/1.29 % ------
% 3.32/1.29
% 3.32/1.29
% 3.32/1.29 %
% 3.32/1.29
% 3.32/1.29 % ------ Proving...
% 3.32/1.29 %
% 3.32/1.29
% 3.32/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/1.29
% 3.32/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.29
% 3.32/1.29
%------------------------------------------------------------------------------