%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : 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 : Sun Sep 27 09:17:56 AM UTC 2026
% Result : Unsatisfiable 7.48s 3.16s
% Output : Refutation 6.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 10 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 533 ( 59 ~; 45 |; 0 &; 429 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(c21_decl,type,
c21: $i ).
thf(c22_decl,type,
c22: $i ).
thf(c20_decl,type,
c20: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(f11_decl,type,
f11: $i > $i > $i > $i ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(c23_decl,type,
c23: $i ).
thf(c24_decl,type,
c24: $i ).
thf(28,negated_conjecture,
c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).
thf(51,plain,
c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(33,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_15) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(cnf,[status(esa)],[48]) ).
thf(252,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ~ $true
| ~ ( B @ ( D @ p10 ) )
| ( C @ ( B @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[33,63]) ).
thf(253,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ~ ( B @ ( D @ p10 ) )
| ( C @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[252]) ).
thf(254,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( A @ ( B @ p10 ) ) ),
inference(pattern_uni,[status(thm)],[253:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(318,plain,
! [B: $i,A: $i] :
( ( ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ) )
!= ( B @ ( A @ p10 ) ) )
| ~ $true
| ( A @ ( B @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[51,254]) ).
thf(319,plain,
! [B: $i,A: $i] :
( ( ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ) )
!= ( B @ ( A @ p10 ) ) )
| ( A @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[318]) ).
thf(320,plain,
c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ),
inference(pattern_uni,[status(thm)],[319:[bind(A,$thf( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) )),bind(B,$thf( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) ))]]) ).
thf(20,negated_conjecture,
c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_20) ).
thf(32,plain,
c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(21,negated_conjecture,
~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_21) ).
thf(52,plain,
~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(58,plain,
~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) ),
inference(polarity_switch,[status(thm)],[52]) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p18 ) )
!= ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) ) )
| ~ $true
| ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p18 ) ) ),
inference(paramod_ordered,[status(thm)],[57,58]) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p18 ) )
!= ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) ) )
| ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p18 ) ) ),
inference(simp,[status(thm)],[75]) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( B @ p10 ) )
| ~ ( c20 @ ( A @ p2 ) )
| ~ ( B @ ( A @ p18 ) ) ),
inference(pattern_uni,[status(thm)],[76:[bind(A,$thf( c20 )),bind(B,$thf( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( B @ p10 ) )
| ~ ( c20 @ ( A @ p2 ) )
| ~ ( B @ ( A @ p18 ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(106,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c20 @ ( B @ p2 ) ) )
| ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( C @ p10 ) )
| ~ $true
| ~ ( C @ ( B @ p18 ) ) ),
inference(paramod_ordered,[status(thm)],[47,81]) ).
thf(107,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c20 @ ( B @ p2 ) ) )
| ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( C @ p10 ) )
| ~ ( C @ ( B @ p18 ) ) ),
inference(simp,[status(thm)],[106]) ).
thf(108,plain,
! [A: $i] :
( ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( A @ p10 ) )
| ~ ( A @ ( c20 @ p18 ) ) ),
inference(pattern_uni,[status(thm)],[107:[bind(A,$thf( c20 )),bind(B,$thf( c20 ))]]) ).
thf(116,plain,
! [A: $i] :
( ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( A @ p10 ) )
| ~ ( A @ ( c20 @ p18 ) ) ),
inference(simp,[status(thm)],[108]) ).
thf(188,plain,
! [A: $i] :
( ( ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) )
!= ( A @ ( c20 @ p18 ) ) )
| ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( A @ p10 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,116]) ).
thf(189,plain,
! [A: $i] :
( ( ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c20 @ p18 ) )
!= ( A @ ( c20 @ p18 ) ) )
| ~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( A @ p10 ) ) ),
inference(simp,[status(thm)],[188]) ).
thf(190,plain,
~ ( c24 @ ( c23 @ ( c22 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ ( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[189:[bind(A,$thf( c24 @ ( c23 @ ( c21 @ ( c20 @ f4 @ f14 ) @ ( c20 @ f15 @ f13 ) @ f11 ) ) ))]]) ).
thf(330,plain,
$false,
inference(rewrite,[status(thm)],[320,190]) ).
thf(331,plain,
$false,
inference(simp,[status(thm)],[330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.14/0.39 % Computer : n004.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 18:15:22 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.78/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.06 % [INFO] Parsing done (199ms).
% 1.20/1.07 % [INFO] Running in sequential loop mode.
% 1.81/1.48 % [INFO] eprover registered as external prover.
% 1.81/1.49 % [INFO] Scanning for conjecture ...
% 2.20/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.39/1.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.39/1.72 % [INFO] Problem is propositional (TPTP CNF).
% 2.39/1.72 % [INFO] Type checking passed.
% 2.39/1.73 % [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 ...
% 7.48/3.15 % [INFO] Killing All external provers ...
% 7.48/3.16 % Time passed: 2671ms (effective reasoning time: 2074ms)
% 7.48/3.16 % Axioms used in derivation (0):
% 7.48/3.16 % No. of inferences in proof: 36
% 7.48/3.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2671 ms resp. 2074 ms w/o parsing
% 6.99/3.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.99/3.21 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------