%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW407-1 : 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 : n003.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 03:29:37 PM UTC 2026
% Result : Unsatisfiable 9.00s 2.04s
% Output : CNFRefutation 9.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 49 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 69 ( 0 sgn 69 !; 0 ?; 55 :)
% 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(f11,axiom,
! [X2,X3,X0,X1,X4] :
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).
fof(f17,axiom,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f23,axiom,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
fof(f24,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
tcf(c_74,plain,
x1 != x2,
inference(cnf_transformation,[],[f17]) ).
tcf(c_78,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(cnf_transformation,[],[f23]) ).
tcf(c_79,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_88,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_169,plain,
~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(demodulation,[status(thm)],[c_79,c_83]) ).
tcf(c_174,plain,
heap(sep(lseg(x4,nil),sep(lseg(x3,x1),sep(next(x2,x4),sep(next(x1,x2),emp))))),
inference(demodulation,[status(thm)],[c_78,c_83]) ).
tcf(c_576,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_82,c_88]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X1),sep(next(X1,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(next(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_83,c_87]) ).
tcf(c_743,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_83,c_576]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X2,X1),sep(next(X1,X4),sep(X3,X5))))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(X3,sep(next(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c_83,c_590]) ).
tcf(c_1364,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_83,c_743]) ).
tcf(c_2208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X3,X1),sep(next(X1,X4),sep(X2,X5))))
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X3,X0),sep(next(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c_83,c_1025]) ).
tcf(c_3805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X3,X4),sep(X0,sep(X1,sep(X2,X5)))))
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(next(X3,X4),X5))))) ),
inference(superposition,[status(thm)],[c_83,c_1364]) ).
tcf(c_6140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X3,X2),sep(next(X2,X4),sep(X0,X5))))
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X3,X1),sep(next(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c_83,c_2208]) ).
tcf(c_11127,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x4,nil),sep(lseg(x3,x1),sep(next(x2,x4),emp)))))
| ( x1 = x2 ) ),
inference(superposition,[status(thm)],[c_174,c_3805]) ).
tcf(c_11141,plain,
heap(sep(lseg(x1,x2),sep(lseg(x4,nil),sep(lseg(x3,x1),sep(next(x2,x4),emp))))),
inference(forward_subsumption_resolution,[status(thm)],[c_11127,c_74]) ).
tcf(c_11210,plain,
heap(sep(lseg(x4,nil),sep(lseg(x1,x2),sep(lseg(x3,x1),sep(next(x2,x4),emp))))),
inference(demodulation,[status(thm)],[c_11141,c_83]) ).
tcf(c_12817,plain,
heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp)))),
inference(superposition,[status(thm)],[c_11210,c_6140]) ).
tcf(c_12860,plain,
heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(demodulation,[status(thm)],[c_12817,c_83]) ).
tcf(c_12861,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12860,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.45 % Computer : n003.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Thu Sep 24 22:19:38 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.51 Running first-order theorem proving
% 0.17/0.51 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
% 0.25/0.53
% 0.25/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.53
% 0.25/0.53 % Detected problem language: tptp
% 0.25/0.55 % Proving...
% 9.00/2.04 % SZS status Started for theBenchmark.p
% 9.00/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 9.00/2.04
% 9.00/2.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.00/2.04
% 9.00/2.04 % ------ iProver source info
% 9.00/2.04
% 9.00/2.04 % git: date: 2026-07-19 20:42:38 +0200
% 9.00/2.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.00/2.04 % git: non_committed_changes: false
% 9.00/2.04
% 9.00/2.04 % ------ Parsing...% successful
% 9.00/2.04
% 9.00/2.04
% 9.00/2.04 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.00/2.04
% 9.00/2.04 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e %
% 9.00/2.04
% 9.00/2.04 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.00/2.04
% 9.00/2.04 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.00/2.04 % ------ Proving...
% 9.00/2.04 % ------ Problem Properties
% 9.00/2.04
% 9.00/2.04 %
% 9.00/2.04 % clauses 21
% 9.00/2.04 % conjectures 0
% 9.00/2.04 % EPR 8
% 9.00/2.04 % Horn 18
% 9.00/2.04 % unary 14
% 9.00/2.04 % binary 4
% 9.00/2.04 % lits 31
% 9.00/2.04 % lits eq 16
% 9.00/2.04 % fd_pure 0
% 9.00/2.04 % fd_pseudo 0
% 9.00/2.04 % fd_cond 1
% 9.00/2.04 % fd_pseudo_cond 4
% 9.00/2.04 % AC symbols 0
% 9.00/2.04
% 9.00/2.04 % ------ Schedule dynamic 5 is on
% 9.00/2.04
% 9.00/2.04 % ------ no conjectures: strip conj schedule
% 9.00/2.04
% 9.00/2.04 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 9.00/2.04
% 9.00/2.04
% 9.00/2.04 % ------
% 9.00/2.04 % Current options:
% 9.00/2.04 % ------
% 9.00/2.04
% 9.00/2.04
% 9.00/2.04 %
% 9.00/2.04
% 9.00/2.04 % ------ Proving...
% 9.00/2.04 %
% 9.00/2.04
% 9.00/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 9.00/2.04
% 9.00/2.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.00/2.04
% 9.00/2.04
%------------------------------------------------------------------------------