%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW430-1 : 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 : n026.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 4.70s 6.50s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 57 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 13 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 19 ( 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 : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 67 :)
% 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(f13,axiom,
x3 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f20,axiom,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
tcf(c_67,plain,
x3 != x11,
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,plain,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(cnf_transformation,[],[f20]) ).
tcf(c_74,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_75,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_118,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[c_72,c_76]) ).
tcf(c_267,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_76,c_74]) ).
tcf(c_297,plain,
( ( x3 = x1 )
| ( x3 = x11 ) ),
inference(superposition,[status(thm)],[c_118,c_74]) ).
tcf(c_298,plain,
x3 = x1,
inference(forward_subsumption_resolution,[status(thm)],[c_297,c_67]) ).
tcf(c_299,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[c_118,c_298]) ).
tcf(c_306,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_76,c_267]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(lseg(X0,X4),X5))))) ),
inference(superposition,[status(thm)],[c_76,c_267]) ).
tcf(c_336,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_76,c_306]) ).
tcf(c_375,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_76,c_336]) ).
tcf(c_408,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_76,c_375]) ).
tcf(c_482,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_76,c_408]) ).
tcf(c_549,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_76,c_482]) ).
tcf(c_668,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_76,c_549]) ).
tcf(c_1285,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[c_299,c_76,c_75]) ).
tcf(c_1286,plain,
( ( x3 = x6 )
| ( x3 = x11 ) ),
inference(superposition,[status(thm)],[c_1285,c_74]) ).
tcf(c_1290,plain,
( ( x3 = x8 )
| ( x3 = x11 ) ),
inference(superposition,[status(thm)],[c_1285,c_312]) ).
tcf(c_1295,plain,
( ( x11 = x8 )
| ( x11 = x6 ) ),
inference(superposition,[status(thm)],[c_1285,c_668]) ).
tcf(c_1302,plain,
x3 = x8,
inference(forward_subsumption_resolution,[status(thm)],[c_1290,c_67]) ).
tcf(c_1306,plain,
x3 = x6,
inference(forward_subsumption_resolution,[status(thm)],[c_1286,c_67]) ).
tcf(c_1417,plain,
x3 = x11,
inference(light_normalisation,[status(thm)],[c_1295,c_1302,c_1306]) ).
tcf(c_1418,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1417,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 % Computer : n026.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.42 % CPULimit : 300
% 0.15/5.42 % WCLimit : 300
% 0.15/5.42 % DateTime : Thu Sep 24 22:24:32 UTC 2026
% 0.15/5.42 % CPUTime :
% 0.15/5.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.48 Running first-order theorem proving
% 0.15/5.48 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
% 0.20/5.50
% 0.20/5.50 % ======== iProver multi-core TPTP/SMT =========
% 0.20/5.50
% 0.20/5.50 % Detected problem language: tptp
% 0.20/5.52 % Proving...
% 4.70/6.50 % SZS status Started for theBenchmark.p
% 4.70/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 4.70/6.50
% 4.70/6.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.70/6.50
% 4.70/6.50 % ------ iProver source info
% 4.70/6.50
% 4.70/6.50 % git: date: 2026-07-19 20:42:38 +0200
% 4.70/6.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.70/6.50 % git: non_committed_changes: false
% 4.70/6.50
% 4.70/6.50 % ------ Parsing...% successful
% 4.70/6.50
% 4.70/6.50
% 4.70/6.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.70/6.50
% 4.70/6.50 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.70/6.50
% 4.70/6.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.70/6.50
% 4.70/6.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.70/6.50 % ------ Proving...
% 4.70/6.50 % ------ Problem Properties
% 4.70/6.50
% 4.70/6.50 %
% 4.70/6.50 % clauses 10
% 4.70/6.50 % conjectures 0
% 4.70/6.50 % EPR 5
% 4.70/6.50 % Horn 8
% 4.70/6.50 % unary 8
% 4.70/6.50 % binary 0
% 4.70/6.50 % lits 14
% 4.70/6.50 % lits eq 10
% 4.70/6.50 % fd_pure 0
% 4.70/6.50 % fd_pseudo 0
% 4.70/6.50 % fd_cond 0
% 4.70/6.50 % fd_pseudo_cond 2
% 4.70/6.50 % AC symbols 0
% 4.70/6.50
% 4.70/6.50 % ------ Schedule dynamic 5 is on
% 4.70/6.50
% 4.70/6.50 % ------ no conjectures: strip conj schedule
% 4.70/6.50
% 4.70/6.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.70/6.50
% 4.70/6.50
% 4.70/6.50 % ------
% 4.70/6.50 % Current options:
% 4.70/6.50 % ------
% 4.70/6.50
% 4.70/6.50
% 4.70/6.50 %
% 4.70/6.50
% 4.70/6.50 % ------ Proving...
% 4.70/6.50 %
% 4.70/6.50
% 4.70/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 4.70/6.50
% 4.70/6.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.70/6.50
% 4.70/6.50
%------------------------------------------------------------------------------