%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:29:41 PM UTC 2026
% Result : Unsatisfiable 3.51s 25.95s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 26 unt; 0 def)
% Number of atoms : 60 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 15 ( 3 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 : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
fof(f21,axiom,
x2 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
fof(f38,axiom,
x1 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_19) ).
fof(f39,plain,
x14 != x1,
inference(reorient_equations,[],[f38]) ).
fof(f43,axiom,
x5 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_22) ).
fof(f44,plain,
x15 != x5,
inference(reorient_equations,[],[f43]) ).
fof(f45,axiom,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_23) ).
tcf(c_91,plain,
x2 != x8,
inference(cnf_transformation,[],[f21]) ).
tcf(c_102,plain,
x14 != x1,
inference(cnf_transformation,[],[f39]) ).
tcf(c_105,plain,
x15 != x5,
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(cnf_transformation,[],[f45]) ).
tcf(c_108,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_109,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_186,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(demodulation,[status(thm)],[c_106,c_110]) ).
tcf(c_403,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_110,c_108]) ).
tcf(c_433,plain,
( ( x14 = x1 )
| ( x3 = x1 ) ),
inference(superposition,[status(thm)],[c_186,c_108]) ).
tcf(c_434,plain,
x3 = x1,
inference(forward_subsumption_resolution,[status(thm)],[c_433,c_102]) ).
tcf(c_435,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x1),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(demodulation,[status(thm)],[c_186,c_434]) ).
tcf(c_444,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_110,c_403]) ).
tcf(c_474,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_110,c_444]) ).
tcf(c_513,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_110,c_474]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X2 = X5 )
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6)))))) ),
inference(superposition,[status(thm)],[c_110,c_513]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3 = X5 )
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6)))))) ),
inference(superposition,[status(thm)],[c_110,c_546]) ).
tcf(c_1317,plain,
heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
inference(demodulation,[status(thm)],[c_435,c_110,c_109]) ).
tcf(c_1320,plain,
( ( x2 = x8 )
| ( x5 = x2 ) ),
inference(superposition,[status(thm)],[c_1317,c_474]) ).
tcf(c_1323,plain,
( ( x2 = x8 )
| ( x18 = x2 ) ),
inference(superposition,[status(thm)],[c_1317,c_513]) ).
tcf(c_1326,plain,
( ( x2 = x12 )
| ( x2 = x8 ) ),
inference(superposition,[status(thm)],[c_1317,c_639]) ).
tcf(c_1327,plain,
x2 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_1326,c_91]) ).
tcf(c_1328,plain,
x18 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_1323,c_91]) ).
tcf(c_1329,plain,
x5 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_1320,c_91]) ).
tcf(c_1330,plain,
heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x2,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
inference(demodulation,[status(thm)],[c_1317,c_1327]) ).
tcf(c_1335,plain,
x15 != x2,
inference(demodulation,[status(thm)],[c_105,c_1329]) ).
tcf(c_3956,plain,
heap(sep(lseg(x1,x14),sep(lseg(x2,x2),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x15),sep(lseg(x9,x2),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))),
inference(light_normalisation,[status(thm)],[c_1330,c_1328,c_1329]) ).
tcf(c_3957,plain,
heap(sep(lseg(x1,x14),sep(lseg(x2,x13),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))),
inference(demodulation,[status(thm)],[c_3956,c_110,c_109]) ).
tcf(c_3964,plain,
( ( x2 = x8 )
| ( x15 = x2 ) ),
inference(superposition,[status(thm)],[c_3957,c_513]) ).
tcf(c_4002,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3964,c_91,c_1335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.03/25.27 % CPULimit : 300
% 0.03/25.27 % WCLimit : 300
% 0.03/25.27 % DateTime : Thu Sep 24 22:23:34 UTC 2026
% 0.03/25.27 % CPUTime :
% 0.03/25.27 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/25.29 Running first-order theorem proving
% 0.03/25.29 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/25.30
% 0.18/25.30 % ======== iProver multi-core TPTP/SMT =========
% 0.18/25.30
% 0.18/25.30 % Detected problem language: tptp
% 0.18/25.30 % Proving...
% 3.51/25.95 % SZS status Started for theBenchmark.p
% 3.51/25.95 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/25.95
% 3.51/25.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/25.95
% 3.51/25.95 % ------ iProver source info
% 3.51/25.95
% 3.51/25.95 % git: date: 2026-07-19 20:42:38 +0200
% 3.51/25.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/25.95 % git: non_committed_changes: false
% 3.51/25.95
% 3.51/25.95 % ------ Parsing...% successful
% 3.51/25.95
% 3.51/25.95
% 3.51/25.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.51/25.95
% 3.51/25.95 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.51/25.95
% 3.51/25.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.51/25.95
% 3.51/25.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.51/25.95 % ------ Proving...
% 3.51/25.95 % ------ Problem Properties
% 3.51/25.95
% 3.51/25.95 %
% 3.51/25.95 % clauses 27
% 3.51/25.95 % conjectures 0
% 3.51/25.95 % EPR 22
% 3.51/25.95 % Horn 25
% 3.51/25.95 % unary 25
% 3.51/25.95 % binary 0
% 3.51/25.95 % lits 31
% 3.51/25.95 % lits eq 27
% 3.51/25.95 % fd_pure 0
% 3.51/25.95 % fd_pseudo 0
% 3.51/25.95 % fd_cond 0
% 3.51/25.95 % fd_pseudo_cond 2
% 3.51/25.95 % AC symbols 0
% 3.51/25.95
% 3.51/25.95 % ------ Schedule dynamic 5 is on
% 3.51/25.95
% 3.51/25.95 % ------ no conjectures: strip conj schedule
% 3.51/25.95
% 3.51/25.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.51/25.95
% 3.51/25.95
% 3.51/25.95 % ------
% 3.51/25.95 % Current options:
% 3.51/25.95 % ------
% 3.51/25.95
% 3.51/25.95
% 3.51/25.95 %
% 3.51/25.95
% 3.51/25.95 % ------ Proving...
% 3.51/25.95 %
% 3.51/25.95
% 3.51/25.95 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/25.95
% 3.51/25.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/25.95
% 3.51/25.95
%------------------------------------------------------------------------------