%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW437-1 : 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 : n017.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 03:29:40 PM UTC 2026
% Result : Unsatisfiable 2.26s 6.21s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 86 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 21 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 13 ( 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 : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 0 ?; 71 :)
% 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(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(f19,axiom,
x3 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f24,axiom,
x7 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
fof(f53,axiom,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_27) ).
tcf(c_93,plain,
x3 != x8,
inference(cnf_transformation,[],[f19]) ).
tcf(c_97,plain,
x7 != x16,
inference(cnf_transformation,[],[f24]) ).
tcf(c_114,plain,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
inference(cnf_transformation,[],[f53]) ).
tcf(c_115,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_116,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_117,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_202,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp)))))))))))),
inference(demodulation,[status(thm)],[c_114,c_118]) ).
tcf(c_435,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_118,c_116]) ).
tcf(c_450,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(X2,X3),sep(lseg(X1,X2),X4)))) ),
inference(superposition,[status(thm)],[c_118,c_115]) ).
tcf(c_471,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_118,c_435]) ).
tcf(c_633,plain,
( ( x16 = x3 )
| ( x7 = x16 ) ),
inference(superposition,[status(thm)],[c_202,c_471]) ).
tcf(c_634,plain,
x16 = x3,
inference(forward_subsumption_resolution,[status(thm)],[c_633,c_97]) ).
tcf(c_635,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x16),sep(lseg(x16,x16),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp)))))))))))),
inference(demodulation,[status(thm)],[c_202,c_634]) ).
tcf(c_638,plain,
x16 != x8,
inference(demodulation,[status(thm)],[c_93,c_634]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X2,X0),sep(lseg(X0,X1),X3)))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),X3))) ),
inference(superposition,[status(thm)],[c_117,c_450]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X0),sep(lseg(X0,X1),sep(X2,X4))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X3,X0),X4)))) ),
inference(superposition,[status(thm)],[c_118,c_873]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X0,X4))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X3,X1),X4)))) ),
inference(superposition,[status(thm)],[c_118,c_898]) ).
tcf(c_1283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,X1),sep(lseg(X1,X2),sep(X0,X3))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_117,c_1163]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,X2),sep(X0,X3)))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),X3))) ),
inference(demodulation,[status(thm)],[c_1283,c_117]) ).
tcf(c_1306,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(lseg(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_118,c_1293]) ).
tcf(c_1322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X3),sep(X1,sep(X0,X4))))
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_118,c_1306]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X1,X2),sep(X3,sep(X0,X4))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,X4)))) ),
inference(superposition,[status(thm)],[c_118,c_1322]) ).
tcf(c_1375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X1),sep(X3,sep(X2,X4))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,X4)))) ),
inference(superposition,[status(thm)],[c_118,c_1355]) ).
tcf(c_1415,plain,
heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp)))))))))),
inference(demodulation,[status(thm)],[c_635,c_117]) ).
tcf(c_1416,plain,
( ( x16 = x12 )
| ( x7 = x16 ) ),
inference(superposition,[status(thm)],[c_1415,c_471]) ).
tcf(c_1420,plain,
( heap(sep(lseg(x7,x1),sep(lseg(x16,x12),sep(lseg(x16,x7),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp))))))))))
| ( x7 = x1 ) ),
inference(superposition,[status(thm)],[c_1415,c_1375]) ).
tcf(c_1421,plain,
( heap(sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp))))))))))
| ( x7 = x16 ) ),
inference(superposition,[status(thm)],[c_1415,c_1355]) ).
tcf(c_1426,plain,
x16 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_1416,c_97]) ).
tcf(c_1429,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x7,x1),sep(lseg(x11,x8),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp)))))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_1421,c_97]) ).
tcf(c_4051,plain,
( heap(sep(lseg(x7,x1),sep(lseg(x16,x16),sep(lseg(x16,x7),sep(lseg(x11,x8),sep(lseg(x16,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp))))))))))
| ( x7 = x1 ) ),
inference(light_normalisation,[status(thm)],[c_1420,c_1426]) ).
tcf(c_4052,plain,
( heap(sep(lseg(x7,x1),sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x11,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x1),emp)))))))))
| ( x7 = x1 ) ),
inference(demodulation,[status(thm)],[c_4051,c_118,c_117]) ).
tcf(c_4060,plain,
( ( x16 = x8 )
| ( x7 = x1 )
| ( x7 = x16 ) ),
inference(superposition,[status(thm)],[c_4052,c_471]) ).
tcf(c_4101,plain,
x7 = x1,
inference(forward_subsumption_resolution,[status(thm)],[c_4060,c_638,c_97]) ).
tcf(c_4636,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x16),sep(lseg(x7,x7),sep(lseg(x11,x8),sep(lseg(x16,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x7),emp)))))))))),
inference(light_normalisation,[status(thm)],[c_1429,c_1426,c_4101]) ).
tcf(c_4637,plain,
heap(sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x11,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x2,x6),sep(lseg(x5,x7),emp)))))))),
inference(demodulation,[status(thm)],[c_4636,c_118,c_117]) ).
tcf(c_4639,plain,
( ( x16 = x8 )
| ( x7 = x16 ) ),
inference(superposition,[status(thm)],[c_4637,c_116]) ).
tcf(c_4682,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4639,c_638,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW437-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n017.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 22:18:22 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.26/6.21 % SZS status Started for theBenchmark.p
% 2.26/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/6.21
% 2.26/6.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/6.21
% 2.26/6.21 % ------ iProver source info
% 2.26/6.21
% 2.26/6.21 % git: date: 2026-07-19 20:42:38 +0200
% 2.26/6.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/6.21 % git: non_committed_changes: false
% 2.26/6.21
% 2.26/6.21 % ------ Parsing...% successful
% 2.26/6.21
% 2.26/6.21
% 2.26/6.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.26/6.21
% 2.26/6.21 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.26/6.21
% 2.26/6.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.26/6.21
% 2.26/6.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.26/6.21 % ------ Proving...
% 2.26/6.21 % ------ Problem Properties
% 2.26/6.21
% 2.26/6.21 %
% 2.26/6.21 % clauses 31
% 2.26/6.21 % conjectures 0
% 2.26/6.21 % EPR 26
% 2.26/6.21 % Horn 29
% 2.26/6.21 % unary 29
% 2.26/6.21 % binary 0
% 2.26/6.21 % lits 35
% 2.26/6.21 % lits eq 31
% 2.26/6.21 % fd_pure 0
% 2.26/6.21 % fd_pseudo 0
% 2.26/6.21 % fd_cond 0
% 2.26/6.21 % fd_pseudo_cond 2
% 2.26/6.21 % AC symbols 0
% 2.26/6.21
% 2.26/6.21 % ------ Schedule dynamic 5 is on
% 2.26/6.21
% 2.26/6.21 % ------ no conjectures: strip conj schedule
% 2.26/6.21
% 2.26/6.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.26/6.21
% 2.26/6.21
% 2.26/6.21 % ------
% 2.26/6.21 % Current options:
% 2.26/6.21 % ------
% 2.26/6.21
% 2.26/6.21
% 2.26/6.21 %
% 2.26/6.21
% 2.26/6.21 % ------ Proving...
% 2.26/6.21 %
% 2.26/6.21
% 2.26/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/6.21
% 2.26/6.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/6.21
% 2.26/6.21
%------------------------------------------------------------------------------