%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN256-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 09:17:04 AM UTC 2026
% Result : Unsatisfiable 136.71s 69.92s
% Output : Refutation 136.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 22 ~; 19 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(n2_decl,type,
n2: $i > $o ).
thf(c_decl,type,
c: $i ).
thf(r0_decl,type,
r0: $i > $o ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(354,axiom,
b @ ( c @ p0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(1041,plain,
b @ ( c @ p0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(184,axiom,
! [B: $i,A: $i] :
( ~ ( A @ r0 )
| ~ ( A @ ( B @ p0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_074) ).
thf(717,plain,
! [B: $i,A: $i] :
( ~ ( A @ r0 )
| ~ ( A @ ( B @ p0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(718,plain,
! [B: $i,A: $i] :
( ~ ( A @ r0 )
| ~ ( A @ ( B @ p0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[717]) ).
thf(22861,plain,
! [B: $i,A: $i] :
( ( ( b @ ( c @ p0 ) )
!= ( A @ ( B @ p0 ) ) )
| ~ ( A @ r0 )
| ~ $true
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1041,718]) ).
thf(22862,plain,
! [B: $i,A: $i] :
( ( ( b @ ( c @ p0 ) )
!= ( A @ ( B @ p0 ) ) )
| ~ ( A @ r0 )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(simp,[status(thm)],[22861]) ).
thf(22863,plain,
( ~ ( b @ r0 )
| ( c @ ( b @ ( b @ p1 ) ) ) ),
inference(pattern_uni,[status(thm)],[22862:[bind(A,$thf( b )),bind(B,$thf( c ))]]) ).
thf(43,axiom,
b @ r0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(450,plain,
b @ r0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(24898,plain,
( ~ $true
| ( c @ ( b @ ( b @ p1 ) ) ) ),
inference(rewrite,[status(thm)],[22863,450]) ).
thf(24899,plain,
c @ ( b @ ( b @ p1 ) ),
inference(simp,[status(thm)],[24898]) ).
thf(322,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
thf(980,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(981,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(cnf,[status(esa)],[980]) ).
thf(46098,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c @ ( b @ ( b @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ~ $true
| ( A @ n2 ) ),
inference(paramod_ordered,[status(thm)],[24899,981]) ).
thf(46099,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c @ ( b @ ( b @ p1 ) ) )
!= ( A @ ( C @ ( B @ p1 ) ) ) )
| ( A @ n2 ) ),
inference(simp,[status(thm)],[46098]) ).
thf(46100,plain,
c @ n2,
inference(pattern_uni,[status(thm)],[46099:[bind(A,$thf( c )),bind(B,$thf( b )),bind(C,$thf( b ))]]) ).
thf(1,negated_conjecture,
~ ( c @ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( c @ n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( c @ n2 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(46199,plain,
$false,
inference(rewrite,[status(thm)],[46100,371]) ).
thf(46200,plain,
$false,
inference(simp,[status(thm)],[46199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 17:27:39 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.85/1.30 % [INFO] Parsing done (308ms).
% 1.85/1.32 % [INFO] Running in sequential loop mode.
% 2.76/1.72 % [INFO] eprover registered as external prover.
% 2.76/1.72 % [INFO] Scanning for conjecture ...
% 2.95/1.87 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.71/2.04 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.15/2.23 % [INFO] Problem is propositional (TPTP CNF).
% 4.15/2.24 % [INFO] Type checking passed.
% 4.15/2.25 % [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 ...
% 136.71/69.92 % [INFO] Killing All external provers ...
% 136.71/69.92 % Time passed: 69368ms (effective reasoning time: 68592ms)
% 136.71/69.92 % Axioms used in derivation (4): axiom_18, rule_074, axiom_9, rule_137
% 136.71/69.92 % No. of inferences in proof: 23
% 136.71/69.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 69368 ms resp. 68592 ms w/o parsing
% 136.71/69.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 136.71/69.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------