%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW425-1 : 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 : 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 03:29:39 PM UTC 2026
% Result : Unsatisfiable 4.35s 1.18s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 53 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 13 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 31 :)
% 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(f8,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
fof(f14,axiom,
x1 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f15,axiom,
x1 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f27,axiom,
x2 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_11) ).
fof(f28,plain,
x7 != x2,
inference(reorient_equations,[],[f27]) ).
fof(f29,axiom,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_12) ).
tcf(c_74,plain,
x1 != x7,
inference(cnf_transformation,[],[f14]) ).
tcf(c_75,plain,
x1 != x10,
inference(cnf_transformation,[],[f15]) ).
tcf(c_83,plain,
x7 != x2,
inference(cnf_transformation,[],[f28]) ).
tcf(c_84,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(cnf_transformation,[],[f29]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_142,plain,
heap(sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x5,x7),emp))))))))),
inference(demodulation,[status(thm)],[c_84,c_88]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(superposition,[status(thm)],[c_88,c_86]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_88,c_315]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c_88,c_327]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c_88,c_357]) ).
tcf(c_487,plain,
( ( x2 = x5 )
| ( x1 = x2 ) ),
inference(superposition,[status(thm)],[c_142,c_357]) ).
tcf(c_488,plain,
( ( x2 = x5 )
| ( x10 = x2 ) ),
inference(superposition,[status(thm)],[c_142,c_396]) ).
tcf(c_508,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x2),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),emp)))))))))
| ( x1 = x2 ) ),
inference(superposition,[status(thm)],[c_487,c_142]) ).
tcf(c_515,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x2),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x7),emp)))))))))
| ( x10 = x2 ) ),
inference(superposition,[status(thm)],[c_488,c_142]) ).
tcf(c_1869,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x2,x7),sep(lseg(x2,x10),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),emp))))))))
| ( x1 = x2 ) ),
inference(demodulation,[status(thm)],[c_508,c_88,c_87]) ).
tcf(c_1878,plain,
( ( x7 = x2 )
| ( x1 = x2 ) ),
inference(superposition,[status(thm)],[c_1869,c_327]) ).
tcf(c_1892,plain,
x1 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_1878,c_83]) ).
tcf(c_2018,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x1,x1),sep(lseg(x1,x10),sep(lseg(x1,x1),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x1,x7),emp)))))))))
| ( x1 = x10 ) ),
inference(light_normalisation,[status(thm)],[c_515,c_1892]) ).
tcf(c_2019,plain,
( heap(sep(lseg(x1,x7),sep(lseg(x1,x10),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),emp)))))))
| ( x1 = x10 ) ),
inference(demodulation,[status(thm)],[c_2018,c_88,c_87]) ).
tcf(c_2020,plain,
heap(sep(lseg(x1,x7),sep(lseg(x1,x10),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x3,x10),emp))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_2019,c_75]) ).
tcf(c_2021,plain,
( ( x1 = x10 )
| ( x1 = x7 ) ),
inference(superposition,[status(thm)],[c_2020,c_86]) ).
tcf(c_2037,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2021,c_75,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW425-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 22:26:23 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 4.35/1.18 % SZS status Started for theBenchmark.p
% 4.35/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/1.18
% 4.35/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.35/1.18
% 4.35/1.18 % ------ iProver source info
% 4.35/1.18
% 4.35/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 4.35/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.35/1.18 % git: non_committed_changes: false
% 4.35/1.18
% 4.35/1.18 % ------ Parsing...% successful
% 4.35/1.18
% 4.35/1.18
% 4.35/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.35/1.18
% 4.35/1.18 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.35/1.18
% 4.35/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.35/1.18
% 4.35/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.35/1.18 % ------ Proving...
% 4.35/1.18 % ------ Problem Properties
% 4.35/1.18
% 4.35/1.18 %
% 4.35/1.18 % clauses 16
% 4.35/1.18 % conjectures 0
% 4.35/1.18 % EPR 11
% 4.35/1.18 % Horn 14
% 4.35/1.18 % unary 14
% 4.35/1.18 % binary 0
% 4.35/1.18 % lits 20
% 4.35/1.18 % lits eq 16
% 4.35/1.18 % fd_pure 0
% 4.35/1.18 % fd_pseudo 0
% 4.35/1.18 % fd_cond 0
% 4.35/1.18 % fd_pseudo_cond 2
% 4.35/1.18 % AC symbols 0
% 4.35/1.18
% 4.35/1.18 % ------ Schedule dynamic 5 is on
% 4.35/1.18
% 4.35/1.18 % ------ no conjectures: strip conj schedule
% 4.35/1.18
% 4.35/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.35/1.18
% 4.35/1.18
% 4.35/1.18 % ------
% 4.35/1.18 % Current options:
% 4.35/1.18 % ------
% 4.35/1.18
% 4.35/1.18
% 4.35/1.18 %
% 4.35/1.18
% 4.35/1.18 % ------ Proving...
% 4.35/1.18 %
% 4.35/1.18
% 4.35/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/1.18
% 4.35/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/1.18
% 4.35/1.18
%------------------------------------------------------------------------------