%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX153_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:32:44 PM UTC 2026
% Result : Theorem 0.39s 1.15s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f34ERROR: Could not build tree for root c_419ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
sl1sl2: ( $int * $int ) > $o ).
tff(pred_def_2,type,
w1w2: ( $int * $int ) > $o ).
tff(pred_def_3,type,
cr1cr2: ( $int * $int ) > $o ).
tff(pred_def_4,type,
sl1w2: ( $int * $int ) > $o ).
tff(pred_def_5,type,
w1cr2: ( $int * $int ) > $o ).
tff(pred_def_6,type,
sl1cr2: ( $int * $int ) > $o ).
tff(pred_def_7,type,
w1sl2: ( $int * $int ) > $o ).
tff(pred_def_8,type,
cr1w2: ( $int * $int ) > $o ).
tff(pred_def_9,type,
cr1sl2: ( $int * $int ) > $o ).
tff(f2,axiom,
! [X0: $int,X1: $int] :
( ( ( $less(X1,X0)
| ( X0 = 0 ) )
& sl1w2(X0,X1) )
=> sl1cr2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f5,axiom,
! [X0: $int,X1: $int] :
( sl1cr2(X0,X1)
=> w1cr2($sum(X1,1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f7,axiom,
! [X0: $int,X1: $int] :
( ( ( $less(X0,X1)
| ( X1 = 0 ) )
& w1cr2(X0,X1) )
=> cr1cr2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
tff(f8,axiom,
! [X0: $int,X1: $int] :
( w1cr2(X0,X1)
=> w1sl2(X0,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
tff(f11,axiom,
! [X0: $int,X1: $int] :
( ( ( $less(X0,X1)
| ( X1 = 0 ) )
& w1sl2(X0,X1) )
=> cr1sl2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
tff(f14,axiom,
! [X0: $int,X1: $int] :
( cr1sl2(X0,X1)
=> cr1w2(X0,$sum(X0,1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
tff(f17,axiom,
! [X0: $int,X1: $int] :
( cr1w2(X0,X1)
=> sl1w2(0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
tff(f18,axiom,
! [X0: $int,X1: $int] :
( cr1cr2(X0,X1)
=> cr1sl2(X0,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
tff(f19,conjecture,
( ! [X0: $int,X1: $int] :
( ( $greatereq(X1,0)
& $greatereq(X0,0) )
=> sl1sl2(X0,X1) )
=> ? [X2: $int,X3: $int] : cr1w2(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj1) ).
tff(f20,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( ( $greatereq(X1,0)
& $greatereq(X0,0) )
=> sl1sl2(X0,X1) )
=> ? [X2: $int,X3: $int] : cr1w2(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f21,plain,
~ ( ! [X0: $int,X1: $int] :
( ( ~ $less(X1,0)
& ~ $less(X0,0) )
=> sl1sl2(X0,X1) )
=> ? [X2: $int,X3: $int] : cr1w2(X2,X3) ),
inference(theory_normalization,[],[f20]) ).
tff(f35,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,X0)
& ( 0 != X0 ) )
| ~ sl1w2(X0,X1)
| sl1cr2(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f36,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,X0)
& ( 0 != X0 ) )
| ~ sl1w2(X0,X1)
| sl1cr2(X0,X1) ),
inference(flattening,[],[f35]) ).
tff(f40,plain,
! [X0: $int,X1: $int] :
( ~ sl1cr2(X0,X1)
| w1cr2($sum(X1,1),X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
& ( 0 != X1 ) )
| ~ w1cr2(X0,X1)
| cr1cr2(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
tff(f43,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
& ( 0 != X1 ) )
| ~ w1cr2(X0,X1)
| cr1cr2(X0,X1) ),
inference(flattening,[],[f42]) ).
tff(f44,plain,
! [X0: $int,X1: $int] :
( ~ w1cr2(X0,X1)
| w1sl2(X0,0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f47,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
& ( 0 != X1 ) )
| ~ w1sl2(X0,X1)
| cr1sl2(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
tff(f48,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
& ( 0 != X1 ) )
| ~ w1sl2(X0,X1)
| cr1sl2(X0,X1) ),
inference(flattening,[],[f47]) ).
tff(f52,plain,
! [X0: $int,X1: $int] :
( ~ cr1sl2(X0,X1)
| cr1w2(X0,$sum(X0,1)) ),
inference(ennf_transformation,[],[f14]) ).
tff(f56,plain,
! [X0: $int,X1: $int] :
( ~ cr1w2(X0,X1)
| sl1w2(0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f57,plain,
! [X0: $int,X1: $int] :
( ~ cr1cr2(X0,X1)
| cr1sl2(X0,0) ),
inference(ennf_transformation,[],[f18]) ).
tff(f58,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,0)
| $less(X0,0)
| sl1sl2(X0,X1) )
& ! [X2: $int,X3: $int] : ~ cr1w2(X2,X3) ),
inference(ennf_transformation,[],[f21]) ).
tff(f59,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,0)
| $less(X0,0)
| sl1sl2(X0,X1) )
& ! [X2: $int,X3: $int] : ~ cr1w2(X2,X3) ),
inference(flattening,[],[f58]) ).
tff(f60,plain,
( ! [X2: $int,X3: $int] :
( $less(X3,0)
| $less(X2,0)
| sl1sl2(X2,X3) )
& ! [X0: $int,X1: $int] : ~ cr1w2(X0,X1) ),
inference(rectify,[],[f59]) ).
tff(f61,plain,
! [X0: $int,X1: $int] :
( ~ sl1sl2(X0,X1)
| sl1w2(X0,$sum(X0,1)) ),
inference(cnf_transformation,[],[f34]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ( 0 != X0 )
| ~ sl1w2(X0,X1)
| sl1cr2(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ~ sl1cr2(X0,X1)
| w1cr2($sum(X1,1),X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f69,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ w1cr2(X0,X1)
| cr1cr2(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( ~ w1cr2(X0,X1)
| w1sl2(X0,0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f75,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ~ w1sl2(X0,X1)
| cr1sl2(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f79,plain,
! [X0: $int,X1: $int] :
( ~ cr1sl2(X0,X1)
| cr1w2(X0,$sum(X0,1)) ),
inference(cnf_transformation,[],[f52]) ).
tff(f83,plain,
! [X0: $int,X1: $int] :
( ~ cr1w2(X0,X1)
| sl1w2(0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( ~ cr1cr2(X0,X1)
| cr1sl2(X0,0) ),
inference(cnf_transformation,[],[f57]) ).
tff(f85,plain,
! [X2: $int,X3: $int] :
( $less(X3,0)
| $less(X2,0)
| sl1sl2(X2,X3) ),
inference(cnf_transformation,[],[f60]) ).
tff(f86,plain,
! [X0: $int,X1: $int] : ~ cr1w2(X0,X1),
inference(cnf_transformation,[],[f60]) ).
tff(f87,plain,
! [X1: $int] :
( ~ sl1w2(0,X1)
| sl1cr2(0,X1) ),
inference(equality_resolution,[],[f63]) ).
tff(f90,plain,
! [X0: $int] :
( ~ w1sl2(X0,0)
| cr1sl2(X0,0) ),
inference(equality_resolution,[],[f75]) ).
tcf(c_55,negated_conjecture,
! [X0_int: $int] : ~ $less(X0_int,X0_int),
inference(cnf_transformation,[],[f27]) ).
tcf(c_61,plain,
! [X0_int: $int,X1_int: $int] :
( sl1w2(X0_int,$sum(X0_int,1))
| ~ sl1sl2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_62,plain,
! [X0_int: $int] :
( sl1cr2(0,X0_int)
| ~ sl1w2(0,X0_int) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_67,plain,
! [X0_int: $int,X1_int: $int] :
( w1cr2($sum(X1_int,1),X1_int)
| ~ sl1cr2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_70,plain,
! [X0_int: $int,X1_int: $int] :
( cr1cr2(X0_int,X1_int)
| ~ w1cr2(X0_int,X1_int)
| ~ $less(X0_int,X1_int) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_71,plain,
! [X0_int: $int,X1_int: $int] :
( w1sl2(X0_int,0)
| ~ w1cr2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_74,plain,
! [X0_int: $int] :
( cr1sl2(X0_int,0)
| ~ w1sl2(X0_int,0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_79,plain,
! [X0_int: $int,X1_int: $int] :
( cr1w2(X0_int,$sum(X0_int,1))
| ~ cr1sl2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_83,plain,
! [X0_int: $int,X1_int: $int] :
( sl1w2(0,X1_int)
| ~ cr1w2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_84,plain,
! [X0_int: $int,X1_int: $int] :
( cr1sl2(X0_int,0)
| ~ cr1cr2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_85,negated_conjecture,
! [X0_int: $int,X1_int: $int] : ~ cr1w2(X0_int,X1_int),
inference(cnf_transformation,[],[f86]) ).
tcf(c_86,negated_conjecture,
! [X0_int: $int,X1_int: $int] :
( $less(X1_int,0)
| $less(X0_int,0)
| sl1sl2(X0_int,X1_int) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_89,plain,
~ $less(0,0),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_105,plain,
( sl1sl2(0,0)
| $less(0,0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_115,plain,
! [X0_int: $int,X1_int: $int] : ~ cr1w2(X0_int,X1_int),
inference(global_subsumption_just,[status(thm)],[c_83,c_85]) ).
tcf(c_127,plain,
! [X0_int: $int,X1_int: $int] :
( sl1w2(X0_int,$sum(X0_int,1))
| ~ sl1sl2(X0_int,X1_int) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_131,plain,
! [X0_int: $int] :
( sl1cr2(0,X0_int)
| ~ sl1w2(0,X0_int) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_133,plain,
! [X0_int: $int,X1_int: $int] :
( w1cr2($sum(X1_int,1),X1_int)
| ~ sl1cr2(X0_int,X1_int) ),
inference(prop_impl_just,[status(thm)],[c_67]) ).
tcf(c_149,plain,
! [X0_int: $int,X1_int: $int] :
( cr1sl2(X0_int,0)
| ~ cr1cr2(X0_int,X1_int) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_151,plain,
! [X0_int: $int] :
( cr1sl2(X0_int,0)
| ~ w1sl2(X0_int,0) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
tcf(c_155,plain,
! [X0_int: $int,X1_int: $int] :
( cr1w2(X0_int,$sum(X0_int,1))
| ~ cr1sl2(X0_int,X1_int) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
tcf(c_268,plain,
! [X0_int: $int,X1_int: $int] : ~ cr1sl2(X0_int,X1_int),
inference(backward_subsumption_resolution,[status(thm)],[c_155,c_115]) ).
tcf(c_276,plain,
! [X0_int: $int,X1_int: $int] : ~ cr1cr2(X0_int,X1_int),
inference(backward_subsumption_resolution,[status(thm)],[c_149,c_268]) ).
tcf(c_277,plain,
! [X0_int: $int] : ~ w1sl2(X0_int,0),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_268]) ).
tcf(c_282,plain,
! [X0_int: $int,X1_int: $int] :
( ~ w1cr2(X0_int,X1_int)
| ~ $less(X0_int,X1_int) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_276]) ).
tcf(c_285,plain,
! [X0_int: $int,X1_int: $int] : ~ w1cr2(X0_int,X1_int),
inference(global_subsumption_just,[status(thm)],[c_282,c_71,c_277]) ).
tcf(c_292,plain,
! [X0_int: $int,X1_int: $int] : ~ sl1cr2(X0_int,X1_int),
inference(backward_subsumption_resolution,[status(thm)],[c_133,c_285]) ).
tcf(c_299,plain,
! [X0_int: $int] : ~ sl1w2(0,X0_int),
inference(backward_subsumption_resolution,[status(thm)],[c_131,c_292]) ).
tcf(c_416,plain,
! [X0_int: $int,X1_int: $int,X2_int: $int] :
( ~ sl1sl2(X0_int,X2_int)
| ( X0_int != 0 )
| ( $sum(X0_int,1) != X1_int ) ),
inference(resolution_lifted,[status(thm)],[c_127,c_299]) ).
tcf(c_417,plain,
! [X0_int: $int] : ~ sl1sl2(0,X0_int),
inference(unflattening,[status(thm)],[c_416]) ).
tcf(c_418,plain,
~ sl1sl2(0,0),
inference(instantiation,[status(thm)],[c_417]) ).
tcf(c_419,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_418,c_105,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX153_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 23:27:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running TFA theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 0.39/1.15 % SZS status Started for theBenchmark.p
% 0.39/1.15 ERROR - "ProverProcess:heur/schedule_none:304.9999806880951" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 0.39/1.15 Fatal error: exception Failure("undefined enum value")
% 0.39/1.15 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_p0io1n2w/di2x3vdu 2>> /export/starexec/sandbox/tmp/iprover_out_p0io1n2w/di2x3vdu_error
% 0.39/1.15 % SZS status Theorem for theBenchmark.p
% 0.39/1.15
% 0.39/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.39/1.15
% 0.39/1.15 % ------ iProver source info
% 0.39/1.15
% 0.39/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 0.39/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.39/1.15 % git: non_committed_changes: false
% 0.39/1.15
% 0.39/1.15 % ------ Parsing...
% 0.39/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.39/1.15
% 0.39/1.15 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s %
% 0.39/1.15
% 0.39/1.15 % SZS status Theorem for theBenchmark.p
% 0.39/1.15
% 0.39/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.39/1.15
% 0.39/1.15
%------------------------------------------------------------------------------