%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:29:38 PM UTC 2026
% Result : Unsatisfiable 4.41s 1.34s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 46 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
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/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
fof(f17,axiom,
x3 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f18,plain,
x2 != x3,
inference(reorient_equations,[],[f17]) ).
fof(f20,axiom,
x1 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f22,axiom,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f23,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
tcf(c_72,plain,
x2 != x3,
inference(cnf_transformation,[],[f18]) ).
tcf(c_74,plain,
x1 != x4,
inference(cnf_transformation,[],[f20]) ).
tcf(c_76,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(cnf_transformation,[],[f22]) ).
tcf(c_77,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(cnf_transformation,[],[f23]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_86,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_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X0,nil),sep(X2,X3)))
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X1,nil),X3)))) ),
inference(superposition,[status(thm)],[c_81,c_82]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( heap(sep(lseg(X0,X1),X2))
| ( X0 = X1 )
| ~ heap(sep(next(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_80,c_86]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,X2),sep(X0,X3)))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(next(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_81,c_594]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,nil),sep(X0,X3)))
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))) ),
inference(superposition,[status(thm)],[c_81,c_561]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X3),sep(X0,sep(X1,X4))))
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(next(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_81,c_744]) ).
tcf(c_3625,plain,
( heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp)))))
| ( x1 = x4 ) ),
inference(superposition,[status(thm)],[c_76,c_1311]) ).
tcf(c_3634,plain,
heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp))))),
inference(forward_subsumption_resolution,[status(thm)],[c_3625,c_74]) ).
tcf(c_3674,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
inference(superposition,[status(thm)],[c_3634,c_561]) ).
tcf(c_3780,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x1,nil),sep(lseg(x3,nil),emp))))
| ( x2 = x3 ) ),
inference(superposition,[status(thm)],[c_3674,c_1311]) ).
tcf(c_3781,plain,
heap(sep(lseg(x2,x3),sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))),
inference(forward_subsumption_resolution,[status(thm)],[c_3780,c_72]) ).
tcf(c_3787,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))),
inference(demodulation,[status(thm)],[c_3781,c_81]) ).
tcf(c_3793,plain,
heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(superposition,[status(thm)],[c_3787,c_785]) ).
tcf(c_3794,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3793,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 22:20:49 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 4.41/1.34 % SZS status Started for theBenchmark.p
% 4.41/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.34
% 4.41/1.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.41/1.34
% 4.41/1.34 % ------ iProver source info
% 4.41/1.34
% 4.41/1.34 % git: date: 2026-07-19 20:42:38 +0200
% 4.41/1.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.41/1.34 % git: non_committed_changes: false
% 4.41/1.34
% 4.41/1.34 % ------ Parsing...% successful
% 4.41/1.34
% 4.41/1.34
% 4.41/1.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.41/1.34
% 4.41/1.34 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.41/1.34
% 4.41/1.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.41/1.34
% 4.41/1.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.41/1.34 % ------ Proving...
% 4.41/1.34 % ------ Problem Properties
% 4.41/1.34
% 4.41/1.34 %
% 4.41/1.34 % clauses 20
% 4.41/1.34 % conjectures 0
% 4.41/1.34 % EPR 7
% 4.41/1.34 % Horn 17
% 4.41/1.34 % unary 13
% 4.41/1.34 % binary 4
% 4.41/1.34 % lits 30
% 4.41/1.34 % lits eq 15
% 4.41/1.34 % fd_pure 0
% 4.41/1.34 % fd_pseudo 0
% 4.41/1.34 % fd_cond 1
% 4.41/1.34 % fd_pseudo_cond 4
% 4.41/1.34 % AC symbols 0
% 4.41/1.34
% 4.41/1.34 % ------ Schedule dynamic 5 is on
% 4.41/1.34
% 4.41/1.34 % ------ no conjectures: strip conj schedule
% 4.41/1.34
% 4.41/1.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.41/1.34
% 4.41/1.34
% 4.41/1.34 % ------
% 4.41/1.34 % Current options:
% 4.41/1.34 % ------
% 4.41/1.34
% 4.41/1.34
% 4.41/1.34 %
% 4.41/1.34
% 4.41/1.34 % ------ Proving...
% 4.41/1.34 %
% 4.41/1.34
% 4.41/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.34
% 4.41/1.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/1.34
% 4.41/1.34
%------------------------------------------------------------------------------