%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX096_1 : TPTP v9.3.1. Released v9.1.0.
% 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 03:32:40 PM UTC 2026
% Result : Theorem 2.11s 1.25s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f81ERROR: Could not build tree for root c_714ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f__integer__: $int > general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
three: general > $o ).
tff(pred_def_9,type,
sqrt: general > $o ).
tff(pred_def_10,type,
three_p: general > $o ).
tff(pred_def_11,type,
more_than_three: general > $o ).
tff(pred_def_12,type,
sqrt: ( general * general ) > $o ).
tff(func_def_13,type,
sK6: general > general ).
tff(func_def_14,type,
sK7: general > $int ).
tff(pred_def_15,type,
sP0: ( general * general ) > $o ).
tff(pred_def_16,type,
sP1: general > $o ).
tff(pred_def_17,type,
sP2: general > $o ).
tff(func_def_18,type,
sK11: general > $int ).
tff(func_def_19,type,
sK12: general > $int ).
tff(func_def_20,type,
sK13: general > $int ).
tff(func_def_21,type,
sK14: ( general * general ) > $int ).
tff(func_def_22,type,
sK15: ( general * general ) > $int ).
tff(func_def_23,type,
sK16: ( general * general ) > $int ).
tff(func_def_24,type,
sK17: ( general * general ) > $int ).
tff(func_def_25,type,
sK18: ( general * general ) > $int ).
tff(func_def_26,type,
sK19: ( general * general ) > $int ).
tff(func_def_27,type,
sK20: general > general ).
tff(func_def_28,type,
sK21: general > general ).
tff(func_def_29,type,
sK22: general > general ).
tff(func_def_30,type,
sK23: $int > $int ).
tff(func_def_31,type,
sK24: $int ).
tff(func_def_32,type,
sK25: $int ).
tff(func_def_33,type,
sK26: $int ).
tff(f9,axiom,
! [X0: general,X1: general] :
( p__less_equal__(X1,X0)
| p__less_equal__(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',strongly_connected_ordering_ax) ).
tff(f10,axiom,
! [X0: general,X1: general] :
( p__less__(X0,X1)
<=> ( ( X0 != X1 )
& p__less_equal__(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',p__less__def_ax) ).
tff(f12,axiom,
! [X0: general,X1: general] :
( p__greater__(X0,X1)
<=> ( ( X0 != X1 )
& p__less_equal__(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',p__greater__def_ax) ).
tff(f13,axiom,
! [X0: $int] : p__less__(c__infimum__,f__integer__(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',minimal_element_ax) ).
tff(f14,axiom,
! [X0: $int,X1: symbol] : p__less__(f__integer__(X0),f__symbolic__(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',numerals_less_than_symbols_ax) ).
tff(f15,axiom,
! [X0: symbol] : p__less__(f__symbolic__(X0),c__supremum__),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV014_0.ax',maximal_element_ax) ).
tff(f16,axiom,
$greatereq(n_i,1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_0_unnamed_formula) ).
tff(f24,axiom,
? [X0: $int] : sqrt(f__integer__(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_unnamed_formula) ).
tff(f25,conjecture,
! [X0: $int,X1: $int] :
( ( $less(X0,X1)
& $greatereq(X1,1)
& $greatereq(X0,1) )
=> $less($product(X0,X0),$product(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9_unnamed_formula) ).
tff(f26,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( $less(X0,X1)
& $greatereq(X1,1)
& $greatereq(X0,1) )
=> $less($product(X0,X0),$product(X1,X1)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
tff(f28,plain,
~ $less(n_i,1),
inference(theory_normalization,[],[f16]) ).
tff(f36,plain,
~ ! [X0: $int,X1: $int] :
( ( $less(X0,X1)
& ~ $less(X1,1)
& ~ $less(X0,1) )
=> $less($product(X0,X0),$product(X1,X1)) ),
inference(theory_normalization,[],[f26]) ).
tff(f60,plain,
! [X0: general,X1: general] :
( p__greater__(X0,X1)
=> ( ( X0 != X1 )
& p__less_equal__(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
tff(f61,plain,
! [X0: general,X1: general] :
( p__less__(X0,X1)
=> ( ( X0 != X1 )
& p__less_equal__(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f70,plain,
! [X0: general,X1: general] :
( ~ p__less__(X0,X1)
| ( ( X0 != X1 )
& p__less_equal__(X0,X1) ) ),
inference(ennf_transformation,[],[f61]) ).
tff(f71,plain,
! [X0: general,X1: general] :
( ~ p__greater__(X0,X1)
| ( ( X0 != X1 )
& p__less_equal__(X1,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
tff(f76,plain,
? [X0: $int,X1: $int] :
( $less(X0,X1)
& ~ $less(X1,1)
& ~ $less(X0,1)
& ~ $less($product(X0,X0),$product(X1,X1)) ),
inference(ennf_transformation,[],[f36]) ).
tff(f77,plain,
? [X0: $int,X1: $int] :
( $less(X0,X1)
& ~ $less(X1,1)
& ~ $less(X0,1)
& ~ $less($product(X0,X0),$product(X1,X1)) ),
inference(flattening,[],[f76]) ).
tff(f96,plain,
! [X0: general] :
( ~ sqrt(X0)
| ? [X1: general] :
( ? [X2: general,X3: general] :
( p__greater__(X2,X3)
& ( f__integer__(n_i) = X3 )
& sP0(X2,X1) )
& sP2(X1)
& sP1(X1)
& ( X0 = X1 ) ) ),
inference(rectify,[],[f81]) ).
tff(f97,plain,
! [X0: general] :
( ~ sqrt(X0)
| ( p__greater__(sK21(X0),sK22(X0))
& ( f__integer__(n_i) = sK22(X0) )
& sP0(sK21(X0),sK20(X0))
& sP2(sK20(X0))
& sP1(sK20(X0))
& ( sK20(X0) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0))],[f96]) ).
tff(f101,plain,
sqrt(f__integer__(sK24)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f24]) ).
tff(f102,plain,
( $less(sK25,sK26)
& ~ $less(sK26,1)
& ~ $less(sK25,1)
& ~ $less($product(sK25,sK25),$product(sK26,sK26)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f77]) ).
tff(f114,plain,
! [X0: general,X1: general] :
( p__less_equal__(X1,X0)
| p__less_equal__(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tff(f115,plain,
! [X0: general,X1: general] :
( ~ p__less__(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f70]) ).
tff(f116,plain,
! [X0: general,X1: general] :
( ~ p__less__(X0,X1)
| p__less_equal__(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tff(f117,plain,
! [X0: general,X1: general] :
( ~ p__greater__(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f71]) ).
tff(f118,plain,
! [X0: general,X1: general] :
( ~ p__greater__(X0,X1)
| p__less_equal__(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f119,plain,
! [X0: $int] : p__less__(c__infimum__,f__integer__(X0)),
inference(cnf_transformation,[],[f13]) ).
tff(f120,plain,
! [X0: $int,X1: symbol] : p__less__(f__integer__(X0),f__symbolic__(X1)),
inference(cnf_transformation,[],[f14]) ).
tff(f121,plain,
! [X0: symbol] : p__less__(f__symbolic__(X0),c__supremum__),
inference(cnf_transformation,[],[f15]) ).
tff(f122,plain,
~ $less(n_i,1),
inference(cnf_transformation,[],[f28]) ).
tff(f145,plain,
! [X0: general] :
( ~ sqrt(X0)
| sP2(sK20(X0)) ),
inference(cnf_transformation,[],[f97]) ).
tff(f146,plain,
! [X0: general] :
( ~ sqrt(X0)
| sP1(sK20(X0)) ),
inference(cnf_transformation,[],[f97]) ).
tff(f154,plain,
sqrt(f__integer__(sK24)),
inference(cnf_transformation,[],[f101]) ).
tff(f155,plain,
$less(sK25,sK26),
inference(cnf_transformation,[],[f102]) ).
tff(f156,plain,
~ $less(sK26,1),
inference(cnf_transformation,[],[f102]) ).
tff(f157,plain,
~ $less(sK25,1),
inference(cnf_transformation,[],[f102]) ).
tff(f162,plain,
! [X1: general] : ~ p__less__(X1,X1),
inference(equality_resolution,[],[f115]) ).
tff(f163,plain,
! [X1: general] : ~ p__greater__(X1,X1),
inference(equality_resolution,[],[f117]) ).
tcf(c_52,negated_conjecture,
! [X0_int: $int] : $product(X0_int,0) = 0,
inference(cnf_transformation,[],[f51]) ).
tcf(c_53,negated_conjecture,
! [X0_int: $int] : $product(X0_int,1) = X0_int,
inference(cnf_transformation,[],[f50]) ).
tcf(c_56,negated_conjecture,
! [X0_int: $int] : $uminus($uminus(X0_int)) = X0_int,
inference(cnf_transformation,[],[f47]) ).
tcf(c_61,negated_conjecture,
! [X0_int: $int] : ~ $less(X0_int,X0_int),
inference(cnf_transformation,[],[f42]) ).
tcf(c_62,negated_conjecture,
! [X0_int: $int] : $sum(X0_int,$uminus(X0_int)) = 0,
inference(cnf_transformation,[],[f41]) ).
tcf(c_64,negated_conjecture,
! [X0_int: $int] : $sum(X0_int,0) = X0_int,
inference(cnf_transformation,[],[f39]) ).
tcf(c_76,negated_conjecture,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X1_general,X0_general)
| p__less_equal__(X0_general,X1_general) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_77,plain,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X0_general,X1_general)
| ~ p__less__(X0_general,X1_general) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_78,negated_conjecture,
! [X0_general: general] : ~ p__less__(X0_general,X0_general),
inference(cnf_transformation,[],[f162]) ).
tcf(c_79,plain,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X1_general,X0_general)
| ~ p__greater__(X0_general,X1_general) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_80,negated_conjecture,
! [X0_general: general] : ~ p__greater__(X0_general,X0_general),
inference(cnf_transformation,[],[f163]) ).
tcf(c_81,negated_conjecture,
! [X0_int: $int] : p__less__(c__infimum__,f__integer__(X0_int)),
inference(cnf_transformation,[],[f119]) ).
tcf(c_82,negated_conjecture,
! [X0_int: $int,X0_symbol: symbol] : p__less__(f__integer__(X0_int),f__symbolic__(X0_symbol)),
inference(cnf_transformation,[],[f120]) ).
tcf(c_83,negated_conjecture,
! [X0_symbol: symbol] : p__less__(f__symbolic__(X0_symbol),c__supremum__),
inference(cnf_transformation,[],[f121]) ).
tcf(c_84,negated_conjecture,
~ $less(n_i,1),
inference(cnf_transformation,[],[f122]) ).
tcf(c_105,plain,
! [X0_general: general] :
( sP1(sK20(X0_general))
| ~ sqrt(X0_general) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_106,plain,
! [X0_general: general] :
( sP2(sK20(X0_general))
| ~ sqrt(X0_general) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_116,negated_conjecture,
sqrt(f__integer__(sK24)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_118,negated_conjecture,
~ $less(sK25,1),
inference(cnf_transformation,[],[f157]) ).
tcf(c_119,negated_conjecture,
~ $less(sK26,1),
inference(cnf_transformation,[],[f156]) ).
tcf(c_120,negated_conjecture,
$less(sK25,sK26),
inference(cnf_transformation,[],[f155]) ).
tcf(c_121,plain,
$less(0,1),
theory(arith) ).
tcf(c_199,plain,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X1_general,X0_general)
| p__less_equal__(X0_general,X1_general) ),
inference(prop_impl_just,[status(thm)],[c_76]) ).
tcf(c_201,plain,
! [X0_general: general,X1_general: general] :
( ~ p__less__(X0_general,X1_general)
| p__less_equal__(X0_general,X1_general) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
tcf(c_202,plain,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X0_general,X1_general)
| ~ p__less__(X0_general,X1_general) ),
inference(renaming,[status(thm)],[c_201]) ).
tcf(c_205,plain,
! [X0_general: general,X1_general: general] :
( ~ p__greater__(X0_general,X1_general)
| p__less_equal__(X1_general,X0_general) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
tcf(c_206,plain,
! [X0_general: general,X1_general: general] :
( p__less_equal__(X1_general,X0_general)
| ~ p__greater__(X0_general,X1_general) ),
inference(renaming,[status(thm)],[c_205]) ).
tcf(c_255,plain,
! [X0_general: general] :
( sP1(sK20(X0_general))
| ~ sqrt(X0_general) ),
inference(prop_impl_just,[status(thm)],[c_105]) ).
tcf(c_257,plain,
! [X0_general: general] :
( sP2(sK20(X0_general))
| ~ sqrt(X0_general) ),
inference(prop_impl_just,[status(thm)],[c_106]) ).
tcf(c_714,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_121,c_120,c_119,c_118,c_116,c_257,c_255,c_84,c_83,c_82,c_81,c_80,c_206,c_78,c_202,c_199,c_64,c_62,c_61,c_56,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX096_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.34 % Computer : n026.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Thu Sep 24 23:27:39 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.37 Running TFA theorem proving
% 0.14/0.37 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.39
% 0.14/0.39 % Detected problem language: tptp
% 0.14/0.40 % Proving...
% 2.11/1.25 % SZS status Started for theBenchmark.p
% 2.11/1.25 ERROR - "ProverProcess:heur/schedule_none:304.9999752044678" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.11/1.25 Fatal error: exception Failure("undefined enum value")
% 2.11/1.25 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_eihnhwm6/ekin8ijg 2>> /export/starexec/sandbox2/tmp/iprover_out_eihnhwm6/ekin8ijg_error
% 2.11/1.25 % SZS status Theorem for theBenchmark.p
% 2.11/1.25
% 2.11/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.11/1.25
% 2.11/1.25 % ------ iProver source info
% 2.11/1.25
% 2.11/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.11/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.11/1.25 % git: non_committed_changes: false
% 2.11/1.25
% 2.11/1.25 % ------ Parsing...
% 2.11/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.11/1.25
% 2.11/1.25 % ------ Preprocessing...%
% 2.11/1.25
% 2.11/1.25 % SZS status Theorem for theBenchmark.p
% 2.11/1.25
% 2.11/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.11/1.25
% 2.11/1.25
%------------------------------------------------------------------------------