%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW427-1 : 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 : n004.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 3.79s 1.46s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 26 unt; 0 def)
% Number of atoms : 76 ( 54 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 21 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 11 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 79 :)
% 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(f14,axiom,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f24,axiom,
x7 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
fof(f25,plain,
x9 != x7,
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
x2 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
fof(f27,plain,
x11 != x2,
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
tcf(c_72,plain,
x1 != x11,
inference(cnf_transformation,[],[f14]) ).
tcf(c_78,plain,
x9 != x7,
inference(cnf_transformation,[],[f25]) ).
tcf(c_79,plain,
x11 != x2,
inference(cnf_transformation,[],[f27]) ).
tcf(c_80,plain,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_83,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_84,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_134,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))),
inference(demodulation,[status(thm)],[c_80,c_81]) ).
tcf(c_299,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_81,c_83]) ).
tcf(c_335,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_81,c_299]) ).
tcf(c_365,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_81,c_335]) ).
tcf(c_404,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_81,c_365]) ).
tcf(c_437,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_81,c_404]) ).
tcf(c_497,plain,
( ( x11 = x7 )
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_134,c_83]) ).
tcf(c_499,plain,
( ( x11 = x3 )
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_134,c_335]) ).
tcf(c_501,plain,
( ( x11 = x6 )
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_134,c_365]) ).
tcf(c_557,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_499,c_134]) ).
tcf(c_599,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_81,c_437]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3 = X6 )
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7))))))) ),
inference(superposition,[status(thm)],[c_81,c_599]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X4 = X6 )
| ( X4 = X5 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7))))))) ),
inference(superposition,[status(thm)],[c_81,c_635]) ).
tcf(c_822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X4 = X7 )
| ( X4 = X5 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(X6,sep(lseg(X4,X7),X8)))))))) ),
inference(superposition,[status(thm)],[c_81,c_783]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X5 = X7 )
| ( X5 = X6 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X6),sep(lseg(X5,X7),X8)))))))) ),
inference(superposition,[status(thm)],[c_81,c_822]) ).
tcf(c_1250,plain,
( ( x9 = x2 )
| ( x9 = x7 ) ),
inference(superposition,[status(thm)],[c_134,c_1074]) ).
tcf(c_1272,plain,
x9 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_1250,c_78]) ).
tcf(c_1277,plain,
x9 != x11,
inference(demodulation,[status(thm)],[c_79,c_1272]) ).
tcf(c_1278,plain,
x11 = x6,
inference(backward_subsumption_resolution,[status(thm)],[c_501,c_1277]) ).
tcf(c_1280,plain,
x11 = x7,
inference(backward_subsumption_resolution,[status(thm)],[c_497,c_1277]) ).
tcf(c_1805,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))),
inference(global_subsumption_just,[status(thm)],[c_557,c_557,c_1277]) ).
tcf(c_1807,plain,
heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x11),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x9,x9),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))),
inference(light_normalisation,[status(thm)],[c_1805,c_1272,c_1278,c_1280]) ).
tcf(c_1808,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))),
inference(demodulation,[status(thm)],[c_1807,c_81,c_84]) ).
tcf(c_1809,plain,
( ( x11 = x10 )
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_1808,c_83]) ).
tcf(c_1826,plain,
x11 = x10,
inference(forward_subsumption_resolution,[status(thm)],[c_1809,c_1277]) ).
tcf(c_1840,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x9,x11),sep(lseg(x4,x5),sep(lseg(x11,x1),emp)))))),
inference(demodulation,[status(thm)],[c_1808,c_1826]) ).
tcf(c_1895,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x9,x11),sep(lseg(x4,x5),emp))))),
inference(demodulation,[status(thm)],[c_1840,c_81,c_84]) ).
tcf(c_1896,plain,
( ( x1 = x11 )
| ( x9 = x11 ) ),
inference(superposition,[status(thm)],[c_1895,c_83]) ).
tcf(c_1913,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1896,c_72,c_1277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Thu Sep 24 22:20:51 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.55
% 0.24/0.55 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.55
% 0.24/0.55 % Detected problem language: tptp
% 0.24/0.57 % Proving...
% 3.79/1.46 % SZS status Started for theBenchmark.p
% 3.79/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.46
% 3.79/1.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.79/1.46
% 3.79/1.46 % ------ iProver source info
% 3.79/1.46
% 3.79/1.46 % git: date: 2026-07-19 20:42:38 +0200
% 3.79/1.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.79/1.46 % git: non_committed_changes: false
% 3.79/1.46
% 3.79/1.46 % ------ Parsing...% successful
% 3.79/1.46
% 3.79/1.46
% 3.79/1.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.79/1.46
% 3.79/1.46 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.79/1.46
% 3.79/1.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.79/1.46
% 3.79/1.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.79/1.46 % ------ Proving...
% 3.79/1.46 % ------ Problem Properties
% 3.79/1.46
% 3.79/1.46 %
% 3.79/1.46 % clauses 14
% 3.79/1.46 % conjectures 0
% 3.79/1.46 % EPR 9
% 3.79/1.46 % Horn 12
% 3.79/1.46 % unary 12
% 3.79/1.46 % binary 0
% 3.79/1.46 % lits 18
% 3.79/1.46 % lits eq 14
% 3.79/1.46 % fd_pure 0
% 3.79/1.46 % fd_pseudo 0
% 3.79/1.46 % fd_cond 0
% 3.79/1.46 % fd_pseudo_cond 2
% 3.79/1.46 % AC symbols 0
% 3.79/1.46
% 3.79/1.46 % ------ Schedule dynamic 5 is on
% 3.79/1.46
% 3.79/1.46 % ------ no conjectures: strip conj schedule
% 3.79/1.46
% 3.79/1.46 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.79/1.46
% 3.79/1.46
% 3.79/1.46 % ------
% 3.79/1.46 % Current options:
% 3.79/1.46 % ------
% 3.79/1.46
% 3.79/1.46
% 3.79/1.46 %
% 3.79/1.46
% 3.79/1.46 % ------ Proving...
% 3.79/1.46 %
% 3.79/1.46
% 3.79/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.46
% 3.79/1.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.46
%------------------------------------------------------------------------------