%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:29:38 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.29s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 32 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
fof(f15,axiom,
x3 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f16,plain,
x2 != x3,
inference(reorient_equations,[],[f15]) ).
fof(f22,axiom,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
fof(f23,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X0,X2),X3))
| ( X0 = X1 )
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_81,plain,
x2 != x3,
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
inference(cnf_transformation,[],[f22]) ).
tcf(c_86,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( heap(X0)
| ~ heap(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_610,plain,
! [X0: $i] :
( heap(X0)
| ~ heap(sep(lseg(x3,nil),sep(next(x2,x3),emp)))
| ( X0 != sep(lseg(x3,nil),sep(next(x2,x3),emp)) ) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i] :
( heap(sep(lseg(x2,X0),X1))
| ( x2 = x3 )
| ~ heap(sep(next(x2,x3),sep(lseg(x3,X0),X1))) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_1032,plain,
( heap(sep(next(x2,x3),sep(lseg(x3,nil),emp)))
| ~ heap(sep(lseg(x3,nil),sep(next(x2,x3),emp)))
| ( sep(next(x2,x3),sep(lseg(x3,nil),emp)) != sep(lseg(x3,nil),sep(next(x2,x3),emp)) ) ),
inference(instantiation,[status(thm)],[c_610]) ).
tcf(c_1033,plain,
sep(next(x2,x3),sep(lseg(x3,nil),emp)) = sep(lseg(x3,nil),sep(next(x2,x3),emp)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1918,plain,
( heap(sep(lseg(x2,nil),emp))
| ( x2 = x3 )
| ~ heap(sep(next(x2,x3),sep(lseg(x3,nil),emp))) ),
inference(instantiation,[status(thm)],[c_740]) ).
tcf(c_1919,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1918,c_1033,c_1032,c_85,c_86,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 22:19:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 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...
% 2.64/1.29 % SZS status Started for theBenchmark.p
% 2.64/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.64/1.29
% 2.64/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.64/1.29
% 2.64/1.29 % ------ iProver source info
% 2.64/1.29
% 2.64/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.64/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.64/1.29 % git: non_committed_changes: false
% 2.64/1.29
% 2.64/1.29 % ------ Parsing...% successful
% 2.64/1.29
% 2.64/1.29
% 2.64/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.64/1.29
% 2.64/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.64/1.29
% 2.64/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.64/1.29
% 2.64/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.64/1.29 % ------ Proving...
% 2.64/1.29 % ------ Problem Properties
% 2.64/1.29
% 2.64/1.29 %
% 2.64/1.29 % clauses 21
% 2.64/1.29 % conjectures 1
% 2.64/1.29 % EPR 7
% 2.64/1.29 % Horn 18
% 2.64/1.29 % unary 14
% 2.64/1.29 % binary 4
% 2.64/1.29 % lits 31
% 2.64/1.29 % lits eq 16
% 2.64/1.29 % fd_pure 0
% 2.64/1.29 % fd_pseudo 0
% 2.64/1.29 % fd_cond 1
% 2.64/1.29 % fd_pseudo_cond 4
% 2.64/1.29 % AC symbols 0
% 2.64/1.29
% 2.64/1.29 % ------ Schedule dynamic 5 is on
% 2.64/1.29
% 2.64/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.64/1.29
% 2.64/1.29
% 2.64/1.29 % ------
% 2.64/1.29 % Current options:
% 2.64/1.29 % ------
% 2.64/1.29
% 2.64/1.29
% 2.64/1.29 %
% 2.64/1.29
% 2.64/1.29 % ------ Proving...
% 2.64/1.29 %
% 2.64/1.29
% 2.64/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.64/1.29
% 2.64/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.64/1.29
% 2.64/1.29
%------------------------------------------------------------------------------