%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC097+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 03:07:52 PM UTC 2026
% Result : Theorem 3.64s 1.47s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f552ERROR: Could not build tree for root c_11657ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ? [X4] :
( app(X0,cons(X4,nil)) = X1
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ? [X4] :
( app(X0,cons(X4,nil)) = X1
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X5] :
( ssItem(X5)
& app(X2,cons(X5,nil)) = X3 )
& ! [X4] :
( app(X0,cons(X4,nil)) != X1
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X5] :
( ssItem(X5)
& app(X2,cons(X5,nil)) = X3 )
& ! [X4] :
( app(X0,cons(X4,nil)) != X1
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ( ~ neq(sK56,nil)
& neq(sK54,nil) )
| ( ssItem(sK57)
& sK56 = app(sK55,cons(sK57,nil))
& ! [X4] :
( sK54 != app(sK53,cons(X4,nil))
| ~ ssItem(X4) )
& neq(sK54,nil) ) )
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X5,sK57)],[f222]) ).
fof(f500,plain,
( ~ neq(sK56,nil)
| ssItem(sK57) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ~ neq(sK56,nil)
| sK56 = app(sK55,cons(sK57,nil)) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ neq(sK56,nil)
| sK54 != app(sK53,cons(X4,nil))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f513,plain,
! [X4] :
( ~ neq(sK56,nil)
| sK56 != app(sK55,cons(X4,nil))
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f504,f509,f508]) ).
tcf(c_246,negated_conjecture,
neq(sK56,nil),
inference(cnf_transformation,[],[f552]) ).
tcf(c_248,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ~ neq(sK56,nil)
| ( app(sK55,cons(X0,nil)) != sK56 ) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_250,negated_conjecture,
( ( app(sK55,cons(sK57,nil)) = sK56 )
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_252,negated_conjecture,
( ssItem(sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_366,negated_conjecture,
ssItem(sK57),
inference(global_subsumption_just,[status(thm)],[c_252,c_246,c_252]) ).
tcf(c_382,negated_conjecture,
app(sK55,cons(sK57,nil)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_250,c_246,c_250]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ( app(sK55,cons(X0,nil)) != sK56 ) ),
inference(global_subsumption_just,[status(thm)],[c_248,c_246,c_248]) ).
tcf(c_8823,definition,
iPr_def_10 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8824,definition,
iPr_def_11 = app(sK55,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8826,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ( app(sK55,cons(X0,nil)) != sK56 ) ),
inference(demodulation,[status(thm)],[c_386]) ).
tcf(c_8827,negated_conjecture,
iPr_def_11 = sK56,
inference(demodulation,[status(thm)],[c_382,c_8823,c_8824]) ).
tcf(c_8828,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_366]) ).
tcf(c_11639,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ( app(sK55,cons(X0,nil)) != iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_8826,c_8827]) ).
tcf(c_11655,plain,
( ~ ssItem(sK57)
| ( app(sK55,iPr_def_10) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8823,c_11639]) ).
tcf(c_11656,plain,
~ ssItem(sK57),
inference(ground_joinability,[status(thm)],[c_11655,c_8824]) ).
tcf(c_11657,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11656,c_8828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC097+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.56 % Computer : n016.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Thu Sep 24 16:26:59 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.60 Running first-order theorem proving
% 0.09/0.60 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
% 0.09/0.61
% 0.09/0.61 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.61
% 0.09/0.61 % Detected problem language: tptp
% 0.09/0.62 % Proving...
% 3.64/1.47 % SZS status Started for theBenchmark.p
% 3.64/1.47 % SZS status Theorem for theBenchmark.p
% 3.64/1.47
% 3.64/1.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.64/1.47
% 3.64/1.47 % ------ iProver source info
% 3.64/1.47
% 3.64/1.47 % git: date: 2026-07-19 20:42:38 +0200
% 3.64/1.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.64/1.47 % git: non_committed_changes: false
% 3.64/1.47
% 3.64/1.47 % ------ Parsing...
% 3.64/1.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.64/1.47
% 3.64/1.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 3.64/1.47
% 3.64/1.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.64/1.47
% 3.64/1.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.64/1.47 % ------ Proving...
% 3.64/1.47 % ------ Problem Properties
% 3.64/1.47
% 3.64/1.47 %
% 3.64/1.47 % clauses 188
% 3.64/1.47 % conjectures 5
% 3.64/1.47 % EPR 54
% 3.64/1.47 % Horn 120
% 3.64/1.47 % unary 23
% 3.64/1.47 % binary 41
% 3.64/1.47 % lits 627
% 3.64/1.47 % lits eq 83
% 3.64/1.47 % fd_pure 0
% 3.64/1.47 % fd_pseudo 0
% 3.64/1.47 % fd_cond 21
% 3.64/1.47 % fd_pseudo_cond 14
% 3.64/1.47 % AC symbols 0
% 3.64/1.47
% 3.64/1.47 % ------ Schedule dynamic 5 is on
% 3.64/1.47
% 3.64/1.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.64/1.47
% 3.64/1.47
% 3.64/1.47 % ------
% 3.64/1.47 % Current options:
% 3.64/1.47 % ------
% 3.64/1.47
% 3.64/1.47
% 3.64/1.47 %
% 3.64/1.47
% 3.64/1.47 % ------ Proving...
% 3.64/1.47 %
% 3.64/1.47
% 3.64/1.47 % SZS status Theorem for theBenchmark.p
% 3.64/1.47
% 3.64/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.47
% 3.64/1.47
%------------------------------------------------------------------------------