%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:23:12 PM UTC 2026
% Result : Unsatisfiable 3.74s 1.18s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 19 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',transitivity) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity_of_addition) ).
fof(f7,axiom,
! [X2,X0,X1] : equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity1) ).
fof(f8,axiom,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity2) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,subtract(X1,X3))
| ~ equalish(X2,subtract(X0,X3))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',subtract_substitution1) ).
fof(f13,negated_conjecture,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : equalish(add(X0,X1),add(X1,X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,subtract(X3,X2))
| ~ equalish(X1,X3)
| ~ equalish(X0,subtract(X1,X2)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,negated_conjecture,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_139,plain,
! [X0: $i] :
( ~ equalish(X0,add(a,subtract(c,b)))
| ~ equalish(add(subtract(a,b),c),X0) ),
inference(resolution,[status(thm)],[c_63,c_74]) ).
tcf(c_145,plain,
~ equalish(add(subtract(a,b),c),add(subtract(c,b),a)),
inference(resolution,[status(thm)],[c_139,c_64]) ).
tcf(c_167,plain,
! [X0: $i] :
( ~ equalish(X0,add(subtract(c,b),a))
| ~ equalish(add(subtract(a,b),c),X0) ),
inference(resolution,[status(thm)],[c_145,c_63]) ).
tcf(c_256,plain,
~ equalish(add(subtract(a,b),c),subtract(add(c,a),b)),
inference(resolution,[status(thm)],[c_167,c_69]) ).
tcf(c_307,plain,
! [X0: $i] :
( ~ equalish(X0,add(c,a))
| ~ equalish(add(subtract(a,b),c),subtract(X0,b)) ),
inference(resolution,[status(thm)],[c_256,c_72]) ).
tcf(c_1162,plain,
~ equalish(add(a,c),add(c,a)),
inference(resolution,[status(thm)],[c_307,c_68]) ).
tcf(c_1204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1162,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 02:43:22 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 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...
% 3.74/1.18 % SZS status Started for theBenchmark.p
% 3.74/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.18
% 3.74/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.74/1.18
% 3.74/1.18 % ------ iProver source info
% 3.74/1.18
% 3.74/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.74/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.74/1.18 % git: non_committed_changes: false
% 3.74/1.18
% 3.74/1.18 % ------ Parsing...% successful
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.74/1.18
% 3.74/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.74/1.18
% 3.74/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.18 % ------ Proving...
% 3.74/1.18 % ------ Problem Properties
% 3.74/1.18
% 3.74/1.18 %
% 3.74/1.18 % clauses 13
% 3.74/1.18 % conjectures 1
% 3.74/1.18 % EPR 2
% 3.74/1.18 % Horn 13
% 3.74/1.18 % unary 8
% 3.74/1.18 % binary 0
% 3.74/1.18 % lits 23
% 3.74/1.18 % lits eq 0
% 3.74/1.18 % fd_pure 0
% 3.74/1.18 % fd_pseudo 0
% 3.74/1.18 % fd_cond 0
% 3.74/1.18 % fd_pseudo_cond 0
% 3.74/1.18 % AC symbols 0
% 3.74/1.18
% 3.74/1.18 % ------ Input Options Time Limit: Unbounded
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 % ------
% 3.74/1.18 % Current options:
% 3.74/1.18 % ------
% 3.74/1.18
% 3.74/1.18
% 3.74/1.18 %
% 3.74/1.18
% 3.74/1.18 % ------ Proving...
% 3.74/1.18 %
% 3.74/1.18
% 3.74/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.18
% 3.74/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.18
% 3.74/1.18
%------------------------------------------------------------------------------