%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN224-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n005.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 09:17:01 AM UTC 2026
% Result : Unsatisfiable 76.37s 31.73s
% Output : Refutation 76.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 230 ( 51 ~; 45 |; 0 &; 134 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(l3_decl,type,
l3: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(r1_decl,type,
r1: $i > $o ).
thf(d_decl,type,
d: $i ).
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(r2_decl,type,
r2: $i > $o ).
thf(s0_decl,type,
s0: $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(338,axiom,
a @ l0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(1010,plain,
a @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(140,axiom,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).
thf(632,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(633,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
inference(cnf,[status(esa)],[632]) ).
thf(241,axiom,
! [A: $i] : ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(824,plain,
! [A: $i] : ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).
thf(402,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(403,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(cnf,[status(esa)],[402]) ).
thf(218,axiom,
d @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(781,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(2046,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ $true
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[403,781]) ).
thf(2047,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(simp,[status(thm)],[2046]) ).
thf(2065,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( d @ ( C @ ( d @ q1 ) ) )
| ~ $true
| ( B @ r1 ) ),
inference(paramod_ordered,[status(thm)],[824,2047]) ).
thf(2066,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( d @ ( C @ ( d @ q1 ) ) )
| ( B @ r1 ) ),
inference(simp,[status(thm)],[2065]) ).
thf(2067,plain,
! [A: $i] :
( ~ ( d @ ( d @ ( d @ q1 ) ) )
| ( A @ r1 ) ),
inference(pattern_uni,[status(thm)],[2066:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( d ))]]) ).
thf(24,axiom,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_097) ).
thf(414,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(415,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(cnf,[status(esa)],[414]) ).
thf(3180,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ $true
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[781,415]) ).
thf(3181,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(simp,[status(thm)],[3180]) ).
thf(3182,plain,
d @ ( d @ ( d @ q1 ) ),
inference(pattern_uni,[status(thm)],[3181:[bind(A,$thf( d ))]]) ).
thf(3208,plain,
! [A: $i] :
( ~ $true
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[2067,3182]) ).
thf(3209,plain,
! [A: $i] : ( A @ r1 ),
inference(simp,[status(thm)],[3208]) ).
thf(19353,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ $true
| ( A @ r2 ) ),
inference(rewrite,[status(thm)],[633,3209]) ).
thf(19354,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ( A @ r2 ) ),
inference(simp,[status(thm)],[19353]) ).
thf(19358,plain,
! [A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ~ $true
| ( A @ r2 ) ),
inference(paramod_ordered,[status(thm)],[1010,19354]) ).
thf(19359,plain,
! [A: $i] :
( ( ( a @ l0 )
!= ( A @ l0 ) )
| ( A @ r2 ) ),
inference(simp,[status(thm)],[19358]) ).
thf(19360,plain,
a @ r2,
inference(pattern_uni,[status(thm)],[19359:[bind(A,$thf( a ))]]) ).
thf(365,axiom,
! [A: $i] :
( ~ ( A @ r2 )
| ( A @ ( A @ l3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_218) ).
thf(1059,plain,
! [A: $i] :
( ~ ( A @ r2 )
| ( A @ ( A @ l3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(1060,plain,
! [A: $i] :
( ~ ( A @ r2 )
| ( A @ ( A @ l3 ) ) ),
inference(cnf,[status(esa)],[1059]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ ( a @ l3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( A @ ( a @ l3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( A @ ( a @ l3 ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(5519,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ l3 ) )
!= ( B @ ( a @ l3 ) ) )
| ~ $true
| ~ ( A @ r2 ) ),
inference(paramod_ordered,[status(thm)],[1060,371]) ).
thf(5520,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ l3 ) )
!= ( B @ ( a @ l3 ) ) )
| ~ ( A @ r2 ) ),
inference(simp,[status(thm)],[5519]) ).
thf(5521,plain,
~ ( a @ r2 ),
inference(pattern_uni,[status(thm)],[5520:[bind(A,$thf( a )),bind(B,$thf( a ))]]) ).
thf(19384,plain,
$false,
inference(rewrite,[status(thm)],[19360,5521]) ).
thf(19385,plain,
$false,
inference(simp,[status(thm)],[19384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % 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
% 0.13/5.40 % Computer : n005.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sat Sep 26 17:23:52 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 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
% 0.17/5.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/6.26 % [INFO] Parsing done (275ms).
% 1.49/6.28 % [INFO] Running in sequential loop mode.
% 2.48/6.64 % [INFO] eprover registered as external prover.
% 2.48/6.65 % [INFO] Scanning for conjecture ...
% 2.70/6.79 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.23/6.93 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 3.76/7.12 % [INFO] Problem is propositional (TPTP CNF).
% 3.76/7.13 % [INFO] Type checking passed.
% 3.99/7.13 % [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 ...
% 76.37/31.73 % [INFO] Killing All external provers ...
% 76.37/31.73 % Time passed: 26182ms (effective reasoning time: 25447ms)
% 76.37/31.73 % Axioms used in derivation (7): rule_124, rule_097, rule_218, axiom_20, rule_188, axiom_1, axiom_17
% 76.37/31.73 % No. of inferences in proof: 41
% 76.37/31.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 26182 ms resp. 25447 ms w/o parsing
% 76.37/31.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 76.37/31.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------