%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:07:47 PM UTC 2026
% Result : Unsatisfiable 3.91s 11.40s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f223ERROR: Could not build tree for root c_5650ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk4 = app(sk5,sk6),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
sk3 = app(sk6,sk5),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f217,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f220,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
tcf(c_248,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_249,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_250,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_251,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f207]) ).
tcf(c_252,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f208]) ).
tcf(c_253,negated_conjecture,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[],[f210]) ).
tcf(c_254,negated_conjecture,
app(sk6,sk5) = sk3,
inference(cnf_transformation,[],[f212]) ).
tcf(c_255,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_256,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_259,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_260,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_261,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_268,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_278,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_260]) ).
tcf(c_289,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_256,c_261,c_278]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( X2 != nil )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_271]) ).
tcf(c_595,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_594]) ).
tcf(c_597,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_595,c_261,c_595]) ).
tcf(c_598,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_1268,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ segmentP(sk3,sk4) ),
inference(superposition,[status(thm)],[c_268,c_598]) ).
tcf(c_1269,plain,
( ( sk4 = nil )
| ~ segmentP(sk3,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1268,c_249]) ).
tcf(c_1287,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_251,c_259]) ).
tcf(c_1288,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_252,c_259]) ).
tcf(c_1294,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_248,c_260]) ).
tcf(c_2239,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk5)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| ~ ssList(app(app(sk6,sk5),X0)) ),
inference(superposition,[status(thm)],[c_254,c_262]) ).
tcf(c_2243,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk5),X0)) ),
inference(superposition,[status(thm)],[c_1287,c_262]) ).
tcf(c_2244,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk6),X0)) ),
inference(superposition,[status(thm)],[c_1288,c_262]) ).
tcf(c_2306,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(light_normalisation,[status(thm)],[c_2244,c_1288]) ).
tcf(c_2307,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2306,c_252,c_261]) ).
tcf(c_2311,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(light_normalisation,[status(thm)],[c_2243,c_1287]) ).
tcf(c_2312,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2311,c_251,c_261]) ).
tcf(c_2326,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk5)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_2239,c_254]) ).
tcf(c_2327,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2326,c_252,c_251]) ).
tcf(c_2524,plain,
! [X0: $i] :
( ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_4891,plain,
( segmentP(sk3,sk6)
| ~ ssList(sk5)
| ~ ssList(app(sk6,sk5)) ),
inference(superposition,[status(thm)],[c_254,c_2307]) ).
tcf(c_4897,plain,
( segmentP(sk3,sk6)
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_4891,c_254]) ).
tcf(c_4898,plain,
segmentP(sk3,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_4897,c_251,c_248]) ).
tcf(c_5064,plain,
( segmentP(sk4,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk6)) ),
inference(superposition,[status(thm)],[c_253,c_2312]) ).
tcf(c_5070,plain,
( segmentP(sk4,sk5)
| ~ ssList(sk6)
| ~ ssList(sk4) ),
inference(light_normalisation,[status(thm)],[c_5064,c_253]) ).
tcf(c_5071,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_5070,c_252,c_249]) ).
tcf(c_5096,plain,
( ( nil = sk5 )
| ~ ssList(sk5)
| ~ segmentP(sk3,sk5) ),
inference(superposition,[status(thm)],[c_5071,c_598]) ).
tcf(c_5097,plain,
( ( nil = sk5 )
| ~ segmentP(sk3,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5096,c_251]) ).
tcf(c_5503,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk5)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2327,c_248,c_2327,c_2524]) ).
tcf(c_5510,plain,
( segmentP(sk3,sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_1294,c_5503]) ).
tcf(c_5513,plain,
segmentP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_5510,c_261]) ).
tcf(c_5525,plain,
nil = sk5,
inference(backward_subsumption_resolution,[status(thm)],[c_5097,c_5513]) ).
tcf(c_5557,plain,
app(sk6,nil) = sk3,
inference(demodulation,[status(thm)],[c_254,c_5525]) ).
tcf(c_5558,plain,
app(nil,sk6) = sk4,
inference(demodulation,[status(thm)],[c_253,c_5525]) ).
tcf(c_5560,plain,
sk4 = sk6,
inference(demodulation,[status(thm)],[c_1288,c_5558]) ).
tcf(c_5564,plain,
segmentP(sk3,sk4),
inference(demodulation,[status(thm)],[c_4898,c_5560]) ).
tcf(c_5596,plain,
sk4 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_1269,c_5564]) ).
tcf(c_5597,plain,
sk3 != nil,
inference(backward_subsumption_resolution,[status(thm)],[c_255,c_5596]) ).
tcf(c_5649,plain,
sk3 = nil,
inference(light_normalisation,[status(thm)],[c_5557,c_289,c_5560,c_5596]) ).
tcf(c_5650,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5649,c_5597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n026.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Thu Sep 24 16:18:20 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.46 Running first-order theorem proving
% 0.16/10.46 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
% 0.16/10.48
% 0.16/10.48 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.48
% 0.16/10.48 % Detected problem language: tptp
% 0.16/10.50 % Proving...
% 3.91/11.40 % SZS status Started for theBenchmark.p
% 3.91/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/11.40
% 3.91/11.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.91/11.40
% 3.91/11.40 % ------ iProver source info
% 3.91/11.40
% 3.91/11.40 % git: date: 2026-07-19 20:42:38 +0200
% 3.91/11.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.91/11.40 % git: non_committed_changes: false
% 3.91/11.40
% 3.91/11.40 % ------ Parsing...% successful
% 3.91/11.40
% 3.91/11.40
% 3.91/11.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.91/11.40
% 3.91/11.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.91/11.40
% 3.91/11.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.91/11.40
% 3.91/11.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.91/11.40 % ------ Proving...
% 3.91/11.40 % ------ Problem Properties
% 3.91/11.40
% 3.91/11.40 %
% 3.91/11.40 % clauses 26
% 3.91/11.40 % conjectures 7
% 3.91/11.40 % EPR 13
% 3.91/11.40 % Horn 26
% 3.91/11.40 % unary 9
% 3.91/11.40 % binary 5
% 3.91/11.40 % lits 73
% 3.91/11.40 % lits eq 19
% 3.91/11.40 % fd_pure 0
% 3.91/11.40 % fd_pseudo 0
% 3.91/11.40 % fd_cond 4
% 3.91/11.40 % fd_pseudo_cond 3
% 3.91/11.40 % AC symbols 0
% 3.91/11.40
% 3.91/11.40 % ------ Schedule dynamic 5 is on
% 3.91/11.40
% 3.91/11.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/11.40
% 3.91/11.40
% 3.91/11.40 % ------
% 3.91/11.40 % Current options:
% 3.91/11.40 % ------
% 3.91/11.40
% 3.91/11.40
% 3.91/11.40 %
% 3.91/11.40
% 3.91/11.40 % ------ Proving...
% 3.91/11.40 %
% 3.91/11.40
% 3.91/11.40 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/11.40
% 3.91/11.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/11.40
%------------------------------------------------------------------------------