%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n003.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 : Sun Sep 27 07:44:46 AM UTC 2026
% Result : Theorem 3.94s 7.06s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 25
% Syntax : Number of formulae : 52 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 163 ( 0 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 333 ( 40 ~; 0 |; 73 &; 182 @)
% ( 12 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 32 !; 12 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(iV16560_decl,type,
iV16560: $i ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(iV16561_decl,type,
iV16561: $i ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(iV16562_decl,type,
iV16562: $i ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(17,axiom,
! [A: $i] :
( ( A @ cC12 )
<=> ( ~ ( A @ cC10 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(88,plain,
! [A: $i] :
( ( ( ~ ( A @ cC10 )
& ~ ( A @ cC2 ) )
=> ( A @ cC12 ) )
& ( ( A @ cC12 )
=> ( ~ ( A @ cC10 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(25,axiom,
iV16562 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(120,plain,
iV16562 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ ( iV16561 @ rR1 ) )
=> ( A @ cC2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(52,plain,
! [A: $i] :
( ( A @ ( iV16561 @ rR1 ) )
=> ( A @ cC2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cTOP )
& ( A @ cC18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(121,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC18 ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cTOP )
& ( A @ cC18 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( iV16562 @ rR1 ) )
=> ( A @ cC2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(70,plain,
! [A: $i] :
( ( A @ ( iV16562 @ rR1 ) )
=> ( A @ cC2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
~ ( iV16562 @ cC10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(109,plain,
~ ( iV16562 @ cC10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(41,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC4 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(34,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC4 ) )
& ( ( A @ cC4 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
( ( iV16562 @ cC12 )
& ( iV16562 @ cowlThing )
& ( iV16561 @ cC6 )
& ( iV16561 @ cowlThing )
& ( iV16560 @ cC8 )
& ( iV16560 @ cC14 )
& ( iV16560 @ cowlThing )
& ( iV16560 @ cC16 )
& ( iV16560 @ cC18 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iV16562 @ cC12 )
& ( iV16562 @ cowlThing )
& ( iV16561 @ cC6 )
& ( iV16561 @ cowlThing )
& ( iV16560 @ cC8 )
& ( iV16560 @ cC14 )
& ( iV16560 @ cowlThing )
& ( iV16560 @ cC16 )
& ( iV16560 @ cC18 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(27,plain,
~ ( ( iV16562 @ cC12 )
& ( iV16562 @ cowlThing )
& ( iV16561 @ cC6 )
& ( iV16561 @ cowlThing )
& ( iV16560 @ cC8 )
& ( iV16560 @ cC14 )
& ( iV16560 @ cowlThing )
& ( iV16560 @ cC16 )
& ( iV16560 @ cC18 )
& ! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(81,plain,
! [A: $i] :
( ( ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(103,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(7,axiom,
iV16560 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(50,plain,
iV16560 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
~ ( iV16561 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(72,plain,
~ ( iV16561 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(24,axiom,
iV16561 @ ( iV16560 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(119,plain,
iV16561 @ ( iV16560 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(8,axiom,
iV16562 @ ( iV16560 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(51,plain,
iV16562 @ ( iV16560 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(22,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(111,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(11,axiom,
~ ( iV16561 @ cC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(61,plain,
~ ( iV16561 @ cC4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(74,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
~ ( iV16562 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(117,plain,
~ ( iV16562 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
iV16560 @ cTOP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(102,plain,
iV16560 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(54,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,axiom,
iV16561 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(49,plain,
iV16561 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
iV16560 @ cTEST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(48,plain,
iV16560 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC18 )
<=> ( ( A @ cC16 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(63,plain,
! [A: $i] :
( ( ( ( A @ cC16 )
& ( A @ cTOP ) )
=> ( A @ cC18 ) )
& ( ( A @ cC18 )
=> ( ( A @ cC16 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC16 )
<=> ( ( A @ cC8 )
& ( A @ cC14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(95,plain,
! [A: $i] :
( ( ( ( A @ cC8 )
& ( A @ cC14 ) )
=> ( A @ cC16 ) )
& ( ( A @ cC16 )
=> ( ( A @ cC8 )
& ( A @ cC14 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(128,plain,
$false,
inference(e,[status(thm)],[88,120,52,121,70,109,41,34,27,81,103,50,72,119,51,111,61,74,117,102,54,49,48,63,95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/5.42 % Computer : n003.cluster.edu
% 0.14/5.42 % Model : x86_64 x86_64
% 0.14/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.42 % Memory : 8046.5625MB
% 0.14/5.42 % OS : Linux 6.8.0-71-generic
% 0.14/5.42 % CPULimit : 300
% 0.14/5.42 % WCLimit : 300
% 0.14/5.42 % DateTime : Fri Sep 25 19:43:14 UTC 2026
% 0.14/5.42 % CPUTime :
% 0.14/5.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.19/5.71 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/5.81 % [INFO] Parsing done (101ms).
% 0.19/5.82 % [INFO] Running in sequential loop mode.
% 1.47/6.05 % [INFO] eprover registered as external prover.
% 1.47/6.05 % [INFO] Scanning for conjecture ...
% 1.67/6.16 % [INFO] Found a conjecture (or negated_conjecture) and 24 axioms. Running axiom selection ...
% 1.80/6.24 % [INFO] Axiom selection finished. Selected 24 axioms (removed 0 axioms).
% 1.80/6.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.80/6.28 % [INFO] Type checking passed.
% 1.80/6.28 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.94/7.06 % External prover 'e' found a proof!
% 3.94/7.06 % [INFO] Killing All external provers ...
% 3.94/7.06 % Time passed: 1547ms (effective reasoning time: 1233ms)
% 3.94/7.06 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.94/7.06 % Axioms used in derivation (24): axiom_7, axiom_10, axiom_22, axiom_15, axiom_2, axiom_6, axiom_16, axiom_3, axiom_20, axiom_1, axiom_8, axiom_17, axiom_0, axiom_11, axiom_23, axiom_9, axiom_14, axiom_4, axiom_21, axiom_19, axiom_5, axiom_13, axiom_18, axiom_12
% 3.94/7.06 % No. of inferences in proof: 52
% 3.94/7.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1547 ms resp. 1233 ms w/o parsing
% 4.15/7.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.15/7.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------