%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 07:15:48 PM UTC 2026
% Result : Theorem 3.90s 1.93s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 16 ~; 8 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
%$ starts > started_by > overlaps > overlapped_by > met_by > meets > finishes > finished_by > during > contains > before > after > #nlpp > h > g > f > e > d > c > b > a
%Foreground sorts:
tff(interval,type,
interval: $tType ).
%Background operators:
%Foreground operators:
tff(starts,type,
starts: ( interval * interval ) > $o ).
tff(overlapped_by,type,
overlapped_by: ( interval * interval ) > $o ).
tff(h,type,
h: interval ).
tff(f,type,
f: interval ).
tff(finished_by,type,
finished_by: ( interval * interval ) > $o ).
tff(e,type,
e: interval ).
tff(during,type,
during: ( interval * interval ) > $o ).
tff(before,type,
before: ( interval * interval ) > $o ).
tff(a,type,
a: interval ).
tff(meets,type,
meets: ( interval * interval ) > $o ).
tff(overlaps,type,
overlaps: ( interval * interval ) > $o ).
tff(contains,type,
contains: ( interval * interval ) > $o ).
tff(after,type,
after: ( interval * interval ) > $o ).
tff(started_by,type,
started_by: ( interval * interval ) > $o ).
tff(finishes,type,
finishes: ( interval * interval ) > $o ).
tff(c,type,
c: interval ).
tff(d,type,
d: interval ).
tff(g,type,
g: interval ).
tff(b,type,
b: interval ).
tff(met_by,type,
met_by: ( interval * interval ) > $o ).
tff(f_87,axiom,
before(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(f_88,axiom,
before(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(f_84,axiom,
! [I: interval,J: interval,K: interval] :
( ( before(I,J)
& before(J,K) )
=> before(I,K) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM002_0.ax',before_transitive) ).
tff(f_89,axiom,
before(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
tff(f_90,axiom,
before(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
tff(f_91,axiom,
before(e,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
tff(f_92,axiom,
before(f,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
tff(f_93,axiom,
before(g,h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
tff(f_95,negated_conjecture,
~ before(a,h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(c_30,plain,
before(a,b),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_32,plain,
before(b,c),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_120,plain,
! [I_43: interval,K_44: interval,J_45: interval] :
( before(I_43,K_44)
| ~ before(J_45,K_44)
| ~ before(I_43,J_45) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_139,plain,
! [I_43: interval] :
( before(I_43,c)
| ~ before(I_43,b) ),
inference(resolution,[status(thm)],[c_32,c_120]) ).
tff(c_34,plain,
before(c,d),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_138,plain,
! [I_43: interval] :
( before(I_43,d)
| ~ before(I_43,c) ),
inference(resolution,[status(thm)],[c_34,c_120]) ).
tff(c_36,plain,
before(d,e),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_141,plain,
! [I_43: interval] :
( before(I_43,e)
| ~ before(I_43,d) ),
inference(resolution,[status(thm)],[c_36,c_120]) ).
tff(c_38,plain,
before(e,f),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_143,plain,
! [I_43: interval] :
( before(I_43,f)
| ~ before(I_43,e) ),
inference(resolution,[status(thm)],[c_38,c_120]) ).
tff(c_40,plain,
before(f,g),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_225,plain,
! [I_50: interval] :
( before(I_50,g)
| ~ before(I_50,f) ),
inference(resolution,[status(thm)],[c_40,c_120]) ).
tff(c_42,plain,
before(g,h),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_162,plain,
! [I_47: interval] :
( before(I_47,h)
| ~ before(I_47,g) ),
inference(resolution,[status(thm)],[c_42,c_120]) ).
tff(c_44,plain,
~ before(a,h),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_178,plain,
~ before(a,g),
inference(resolution,[status(thm)],[c_162,c_44]) ).
tff(c_241,plain,
~ before(a,f),
inference(resolution,[status(thm)],[c_225,c_178]) ).
tff(c_276,plain,
~ before(a,e),
inference(resolution,[status(thm)],[c_143,c_241]) ).
tff(c_329,plain,
~ before(a,d),
inference(resolution,[status(thm)],[c_141,c_276]) ).
tff(c_390,plain,
~ before(a,c),
inference(resolution,[status(thm)],[c_138,c_329]) ).
tff(c_502,plain,
~ before(a,b),
inference(resolution,[status(thm)],[c_139,c_390]) ).
tff(c_509,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.34 % Computer : n017.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 18:28:57 EDT 2026
% 0.16/0.34 % CPUTime :
% 3.90/1.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/1.94
% 3.90/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------