%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW442-1 : 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 : n014.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 4.60s 1.32s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 26 unt; 0 def)
% Number of atoms : 86 ( 61 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 21 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 20 ( 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 : 19 ( 19 usr; 17 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/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(f13,axiom,
x6 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f22,axiom,
x7 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f23,plain,
x13 != x7,
inference(reorient_equations,[],[f22]) ).
fof(f31,axiom,
x2 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).
fof(f32,plain,
x6 != x2,
inference(reorient_equations,[],[f31]) ).
fof(f58,axiom,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_29) ).
tcf(c_90,plain,
x6 != x13,
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,plain,
x13 != x7,
inference(cnf_transformation,[],[f23]) ).
tcf(c_103,plain,
x6 != x2,
inference(cnf_transformation,[],[f32]) ).
tcf(c_118,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(cnf_transformation,[],[f58]) ).
tcf(c_120,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_121,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_210,plain,
heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp))))))))))))))))))),
inference(demodulation,[status(thm)],[c_118,c_122]) ).
tcf(c_451,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_122,c_120]) ).
tcf(c_463,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_122,c_451]) ).
tcf(c_493,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_122,c_463]) ).
tcf(c_532,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_122,c_493]) ).
tcf(c_565,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_122,c_532]) ).
tcf(c_622,plain,
( ( x13 = x2 )
| ( x13 = x15 ) ),
inference(superposition,[status(thm)],[c_210,c_120]) ).
tcf(c_624,plain,
( ( x13 = x15 )
| ( x13 = x12 ) ),
inference(superposition,[status(thm)],[c_210,c_463]) ).
tcf(c_635,plain,
( heap(sep(lseg(x13,x2),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x4,x11),sep(lseg(x4,x13),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp)))))))))))))))))))
| ( x13 = x2 ) ),
inference(superposition,[status(thm)],[c_622,c_210]) ).
tcf(c_652,plain,
( heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x13),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp)))))))))))))))))))
| ( x13 = x15 ) ),
inference(superposition,[status(thm)],[c_624,c_210]) ).
tcf(c_705,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_122,c_565]) ).
tcf(c_741,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_122,c_705]) ).
tcf(c_852,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_122,c_741]) ).
tcf(c_955,plain,
( ( x16 = x2 )
| ( x6 = x2 ) ),
inference(superposition,[status(thm)],[c_210,c_852]) ).
tcf(c_971,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_122,c_852]) ).
tcf(c_974,plain,
x16 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_955,c_103]) ).
tcf(c_978,plain,
heap(sep(lseg(x13,x2),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x2),sep(lseg(x15,x2),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp))))))))))))))))))),
inference(demodulation,[status(thm)],[c_210,c_974]) ).
tcf(c_1229,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_122,c_971]) ).
tcf(c_1416,plain,
( heap(sep(lseg(x13,x2),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x2,x2),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x4,x11),sep(lseg(x4,x13),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp)))))))))))))))))))
| ( x13 = x2 ) ),
inference(light_normalisation,[status(thm)],[c_635,c_974]) ).
tcf(c_1417,plain,
( heap(sep(lseg(x13,x2),sep(lseg(x13,x2),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x2,x6),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp)))))))))))))))))
| ( x13 = x2 ) ),
inference(demodulation,[status(thm)],[c_1416,c_122,c_121]) ).
tcf(c_1428,plain,
x13 = x2,
inference(superposition,[status(thm)],[c_1417,c_120]) ).
tcf(c_1436,plain,
x13 = x16,
inference(demodulation,[status(thm)],[c_974,c_1428]) ).
tcf(c_1805,plain,
( heap(sep(lseg(x13,x13),sep(lseg(x13,x15),sep(lseg(x13,x13),sep(lseg(x11,x9),sep(lseg(x13,x6),sep(lseg(x13,x13),sep(lseg(x15,x13),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp)))))))))))))))))))
| ( x13 = x15 ) ),
inference(light_normalisation,[status(thm)],[c_652,c_1428,c_1436]) ).
tcf(c_1806,plain,
( heap(sep(lseg(x13,x15),sep(lseg(x13,x6),sep(lseg(x11,x9),sep(lseg(x15,x13),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp))))))))))))))))
| ( x13 = x15 ) ),
inference(demodulation,[status(thm)],[c_1805,c_122,c_121]) ).
tcf(c_1813,plain,
( ( x13 = x15 )
| ( x6 = x13 ) ),
inference(superposition,[status(thm)],[c_1806,c_120]) ).
tcf(c_1825,plain,
x13 = x15,
inference(forward_subsumption_resolution,[status(thm)],[c_1813,c_90]) ).
tcf(c_2240,plain,
heap(sep(lseg(x13,x13),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x13,x6),sep(lseg(x13,x13),sep(lseg(x13,x13),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x4,x11),sep(lseg(x4,x13),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp))))))))))))))))))),
inference(light_normalisation,[status(thm)],[c_978,c_1428,c_1825]) ).
tcf(c_2241,plain,
heap(sep(lseg(x13,x6),sep(lseg(x13,x12),sep(lseg(x11,x9),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x7,x13),sep(lseg(x7,x12),sep(lseg(x9,x13),sep(lseg(x4,x13),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x18,x10),sep(lseg(x1,x5),sep(lseg(x5,x14),emp))))))))))))))),
inference(demodulation,[status(thm)],[c_2240,c_122,c_121]) ).
tcf(c_2242,plain,
( ( x13 = x12 )
| ( x6 = x13 ) ),
inference(superposition,[status(thm)],[c_2241,c_120]) ).
tcf(c_2266,plain,
( ( x12 = x7 )
| ( x13 = x7 ) ),
inference(superposition,[status(thm)],[c_2241,c_1229]) ).
tcf(c_2267,plain,
x12 = x7,
inference(forward_subsumption_resolution,[status(thm)],[c_2266,c_97]) ).
tcf(c_2268,plain,
x13 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_2242,c_90]) ).
tcf(c_2294,plain,
x13 != x12,
inference(demodulation,[status(thm)],[c_97,c_2267]) ).
tcf(c_2295,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2294,c_2268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW442-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.37 % Computer : n014.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Thu Sep 24 22:23:19 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 4.60/1.32 % SZS status Started for theBenchmark.p
% 4.60/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.60/1.32
% 4.60/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.60/1.32
% 4.60/1.32 % ------ iProver source info
% 4.60/1.32
% 4.60/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.60/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.60/1.32 % git: non_committed_changes: false
% 4.60/1.32
% 4.60/1.32 % ------ Parsing...% successful
% 4.60/1.32
% 4.60/1.32
% 4.60/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.60/1.32
% 4.60/1.32 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.60/1.32
% 4.60/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.60/1.32
% 4.60/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.60/1.32 % ------ Proving...
% 4.60/1.32 % ------ Problem Properties
% 4.60/1.32
% 4.60/1.32 %
% 4.60/1.32 % clauses 33
% 4.60/1.32 % conjectures 0
% 4.60/1.32 % EPR 28
% 4.60/1.32 % Horn 31
% 4.60/1.32 % unary 31
% 4.60/1.32 % binary 0
% 4.60/1.32 % lits 37
% 4.60/1.32 % lits eq 33
% 4.60/1.32 % fd_pure 0
% 4.60/1.32 % fd_pseudo 0
% 4.60/1.32 % fd_cond 0
% 4.60/1.32 % fd_pseudo_cond 2
% 4.60/1.32 % AC symbols 0
% 4.60/1.32
% 4.60/1.32 % ------ Schedule dynamic 5 is on
% 4.60/1.32
% 4.60/1.32 % ------ no conjectures: strip conj schedule
% 4.60/1.32
% 4.60/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.60/1.32
% 4.60/1.32
% 4.60/1.32 % ------
% 4.60/1.32 % Current options:
% 4.60/1.32 % ------
% 4.60/1.32
% 4.60/1.32
% 4.60/1.32 %
% 4.60/1.32
% 4.60/1.32 % ------ Proving...
% 4.60/1.32 %
% 4.60/1.32
% 4.60/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.60/1.32
% 4.60/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.60/1.32
% 4.60/1.32
%------------------------------------------------------------------------------