%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW445-1 : 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 : n005.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 0.72s 1.21s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 61 ( 41 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 15 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 16 ( 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(f15,axiom,
x3 != x20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f40,axiom,
heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).
tcf(c_82,plain,
x3 != x20,
inference(cnf_transformation,[],[f15]) ).
tcf(c_98,plain,
heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
inference(cnf_transformation,[],[f40]) ).
tcf(c_100,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_101,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_170,plain,
heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x11,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))),
inference(demodulation,[status(thm)],[c_98,c_102]) ).
tcf(c_371,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_102,c_100]) ).
tcf(c_383,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_102,c_371]) ).
tcf(c_413,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_102,c_383]) ).
tcf(c_443,plain,
( ( x11 = x12 )
| ( x20 = x12 ) ),
inference(superposition,[status(thm)],[c_170,c_383]) ).
tcf(c_490,plain,
( ( x12 = x15 )
| ( x20 = x12 ) ),
inference(superposition,[status(thm)],[c_170,c_413]) ).
tcf(c_494,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_102,c_413]) ).
tcf(c_518,plain,
( heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x12),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x11,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))))))
| ( x20 = x12 ) ),
inference(superposition,[status(thm)],[c_490,c_170]) ).
tcf(c_537,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_102,c_494]) ).
tcf(c_618,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_102,c_537]) ).
tcf(c_677,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_102,c_618]) ).
tcf(c_823,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_102,c_677]) ).
tcf(c_862,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_102,c_823]) ).
tcf(c_1115,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_102,c_862]) ).
tcf(c_1527,plain,
( ( x3 = x12 )
| ( x3 = x20 ) ),
inference(superposition,[status(thm)],[c_170,c_1115]) ).
tcf(c_1549,plain,
x3 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_1527,c_82]) ).
tcf(c_1555,plain,
x20 != x12,
inference(demodulation,[status(thm)],[c_82,c_1549]) ).
tcf(c_1559,plain,
x11 = x12,
inference(backward_subsumption_resolution,[status(thm)],[c_443,c_1555]) ).
tcf(c_1561,plain,
heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x12),sep(lseg(x17,x14),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x11,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))),
inference(global_subsumption_just,[status(thm)],[c_518,c_518,c_1555]) ).
tcf(c_1563,plain,
heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x12),sep(lseg(x12,x12),sep(lseg(x17,x14),sep(lseg(x12,x20),sep(lseg(x12,x12),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x12,x12),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))),
inference(light_normalisation,[status(thm)],[c_1561,c_1549,c_1559]) ).
tcf(c_1564,plain,
heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x20),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x7,x16),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))),
inference(demodulation,[status(thm)],[c_1563,c_102,c_101]) ).
tcf(c_1565,plain,
x20 = x12,
inference(superposition,[status(thm)],[c_1564,c_383]) ).
tcf(c_1572,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1565,c_1555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW445-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 22:24:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 0.72/1.21 % SZS status Started for theBenchmark.p
% 0.72/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.21
% 0.72/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.72/1.21
% 0.72/1.21 % ------ iProver source info
% 0.72/1.21
% 0.72/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.72/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.72/1.21 % git: non_committed_changes: false
% 0.72/1.21
% 0.72/1.21 % ------ Parsing...% successful
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.72/1.21
% 0.72/1.21 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.72/1.21
% 0.72/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.72/1.21
% 0.72/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.72/1.21 % ------ Proving...
% 0.72/1.21 % ------ Problem Properties
% 0.72/1.21
% 0.72/1.21 %
% 0.72/1.21 % clauses 23
% 0.72/1.21 % conjectures 0
% 0.72/1.21 % EPR 18
% 0.72/1.21 % Horn 21
% 0.72/1.21 % unary 21
% 0.72/1.21 % binary 0
% 0.72/1.21 % lits 27
% 0.72/1.21 % lits eq 23
% 0.72/1.21 % fd_pure 0
% 0.72/1.21 % fd_pseudo 0
% 0.72/1.21 % fd_cond 0
% 0.72/1.21 % fd_pseudo_cond 2
% 0.72/1.21 % AC symbols 0
% 0.72/1.21
% 0.72/1.21 % ------ Schedule dynamic 5 is on
% 0.72/1.21
% 0.72/1.21 % ------ no conjectures: strip conj schedule
% 0.72/1.21
% 0.72/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 % ------
% 0.72/1.21 % Current options:
% 0.72/1.21 % ------
% 0.72/1.21
% 0.72/1.21
% 0.72/1.21 %
% 0.72/1.21
% 0.72/1.21 % ------ Proving...
% 0.72/1.21 %
% 0.72/1.21
% 0.72/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.21
% 0.72/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.72/1.21
% 0.72/1.21
%------------------------------------------------------------------------------