%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW410-1 : 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 : n009.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 15.62s 3.27s
% Output : CNFRefutation 15.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 69 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 21 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 56 :)
% 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(f12,axiom,
! [X2,X3,X0,X1,X4] :
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
fof(f15,axiom,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f18,axiom,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f19,negated_conjecture,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
tcf(c_68,plain,
x1 != x3,
inference(cnf_transformation,[],[f15]) ).
tcf(c_70,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(cnf_transformation,[],[f18]) ).
tcf(c_71,negated_conjecture,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| ( X2 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_76,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_80,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_149,plain,
heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
inference(demodulation,[status(thm)],[c_70,c_75]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i,X2: $i] :
( heap(sep(lseg(X1,nil),X2))
| ~ heap(sep(lseg(X0,nil),sep(lseg(X1,X0),X2))) ),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X2,X1),X3))
| ( X0 = X2 )
| ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3))) ),
inference(superposition,[status(thm)],[c_75,c_80]) ).
tcf(c_581,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_74,c_80]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X1),sep(lseg(X1,X3),X4)))
| ( X1 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
tcf(c_784,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_75,c_581]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X1),sep(X2,X4)))
| ( X0 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(next(X3,X0),X4)))) ),
inference(superposition,[status(thm)],[c_75,c_577]) ).
tcf(c_1301,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_75,c_784]) ).
tcf(c_3575,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ( x1 = x3 ) ),
inference(superposition,[status(thm)],[c_149,c_1287]) ).
tcf(c_3584,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))),
inference(forward_subsumption_resolution,[status(thm)],[c_3575,c_68]) ).
tcf(c_3597,plain,
heap(sep(lseg(x2,nil),emp)),
inference(superposition,[status(thm)],[c_3584,c_421]) ).
tcf(c_3606,plain,
( heap(sep(lseg(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
| ( x1 = x3 ) ),
inference(superposition,[status(thm)],[c_149,c_1301]) ).
tcf(c_3615,plain,
heap(sep(lseg(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))),
inference(forward_subsumption_resolution,[status(thm)],[c_3606,c_68]) ).
tcf(c_3675,plain,
heap(sep(lseg(x3,nil),sep(lseg(x1,x3),sep(lseg(x2,x1),emp)))),
inference(demodulation,[status(thm)],[c_3615,c_75]) ).
tcf(c_10891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ( X1 = X2 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X3,X0),X4)))) ),
inference(superposition,[status(thm)],[c_75,c_627]) ).
tcf(c_22711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X0),sep(lseg(X0,X1),X4)))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(lseg(X3,X2),X4)))) ),
inference(superposition,[status(thm)],[c_75,c_10891]) ).
tcf(c_29835,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| ( nil = x3 ) ),
inference(superposition,[status(thm)],[c_3675,c_22711]) ).
tcf(c_29850,plain,
( heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp)))
| ( nil = x3 ) ),
inference(demodulation,[status(thm)],[c_29835,c_75]) ).
tcf(c_29851,plain,
nil = x3,
inference(forward_subsumption_resolution,[status(thm)],[c_29850,c_71]) ).
tcf(c_29856,plain,
~ heap(sep(lseg(nil,nil),sep(lseg(x2,nil),emp))),
inference(demodulation,[status(thm)],[c_71,c_29851]) ).
tcf(c_29857,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(demodulation,[status(thm)],[c_29856,c_74]) ).
tcf(c_29858,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29857,c_3597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW410-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n009.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 22:18:44 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 15.62/3.27 % SZS status Started for theBenchmark.p
% 15.62/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 15.62/3.27
% 15.62/3.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.62/3.27
% 15.62/3.27 % ------ iProver source info
% 15.62/3.27
% 15.62/3.27 % git: date: 2026-07-19 20:42:38 +0200
% 15.62/3.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.62/3.27 % git: non_committed_changes: false
% 15.62/3.27
% 15.62/3.27 % ------ Parsing...% successful
% 15.62/3.27
% 15.62/3.27
% 15.62/3.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.62/3.27
% 15.62/3.27 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 15.62/3.27
% 15.62/3.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.62/3.27
% 15.62/3.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.62/3.27 % ------ Proving...
% 15.62/3.27 % ------ Problem Properties
% 15.62/3.27
% 15.62/3.27 %
% 15.62/3.27 % clauses 17
% 15.62/3.27 % conjectures 1
% 15.62/3.27 % EPR 4
% 15.62/3.27 % Horn 14
% 15.62/3.27 % unary 10
% 15.62/3.27 % binary 4
% 15.62/3.27 % lits 27
% 15.62/3.27 % lits eq 12
% 15.62/3.27 % fd_pure 0
% 15.62/3.27 % fd_pseudo 0
% 15.62/3.27 % fd_cond 1
% 15.62/3.27 % fd_pseudo_cond 4
% 15.62/3.27 % AC symbols 0
% 15.62/3.27
% 15.62/3.27 % ------ Schedule dynamic 5 is on
% 15.62/3.27
% 15.62/3.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.62/3.27
% 15.62/3.27
% 15.62/3.27 % ------
% 15.62/3.27 % Current options:
% 15.62/3.27 % ------
% 15.62/3.27
% 15.62/3.27
% 15.62/3.27 %
% 15.62/3.27
% 15.62/3.27 % ------ Proving...
% 15.62/3.27 %
% 15.62/3.27
% 15.62/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 15.62/3.27
% 15.62/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.62/3.27
% 15.62/3.27
%------------------------------------------------------------------------------