TSTP Solution File: CSR040+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR040+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : 600s
% DateTime : Fri Jul 15 23:24:31 EDT 2022
% Result : Theorem 0.76s 0.94s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of clauses : 26 ( 5 unt; 0 nHn; 26 RR)
% Number of literals : 47 ( 0 equ; 25 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
tptpcol_15_109185(c_tptpcol_16_62187),
file('CSR040+2.p',unknown),
[] ).
cnf(18,axiom,
firstordercollection(c_tptpcol_16_62187),
file('CSR040+2.p',unknown),
[] ).
cnf(307,axiom,
( ~ tptpcol_2_98304(u)
| tptpcol_1_65536(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(310,axiom,
( ~ tptpcol_4_106497(u)
| tptpcol_3_98305(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(319,axiom,
( ~ tptpcol_10_109061(u)
| tptpcol_9_109060(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(324,axiom,
( ~ tptpcol_13_109173(u)
| tptpcol_12_109157(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(325,axiom,
( ~ tptpcol_5_106498(u)
| tptpcol_4_106497(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(328,axiom,
( ~ tptpcol_1_65536(u)
| tptpcol_0_0(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(334,axiom,
( ~ fixedordercollection(u)
| collection(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(343,axiom,
( ~ tptpcol_8_109059(u)
| tptpcol_7_108547(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(350,axiom,
( ~ firstordercollection(u)
| fixedordercollection(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(358,axiom,
( ~ tptpcol_3_98305(u)
| tptpcol_2_98304(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(362,axiom,
( ~ tptpcol_9_109060(u)
| tptpcol_8_109059(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(363,axiom,
( ~ tptpcol_14_109181(u)
| tptpcol_13_109173(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(368,axiom,
( ~ tptpcol_15_109185(u)
| tptpcol_14_109181(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(386,axiom,
( ~ tptpcol_7_108547(u)
| tptpcol_6_108546(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(387,axiom,
( ~ tptpcol_11_109125(u)
| tptpcol_10_109061(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(393,axiom,
( ~ tptpcol_12_109157(u)
| tptpcol_11_109125(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(422,axiom,
( ~ tptpcol_0_0(u)
| individual(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(425,axiom,
( ~ tptpcol_6_108546(u)
| tptpcol_5_106498(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(475,axiom,
( ~ individual(u)
| ~ collection(u) ),
file('CSR040+2.p',unknown),
[] ).
cnf(1135,plain,
tptpcol_14_109181(c_tptpcol_16_62187),
inference(res,[status(thm),theory(equality)],[1,368]),
[iquote('0:Res:1.0,368.0')] ).
cnf(1644,plain,
( ~ tptpcol_0_0(u)
| ~ fixedordercollection(u) ),
inference(ems,[status(thm)],[475,422,334]),
[iquote('0:EmS:475.0,475.1,422.1,334.1')] ).
cnf(1855,plain,
( ~ tptpcol_1_65536(u)
| ~ firstordercollection(u) ),
inference(ems,[status(thm)],[1644,328,350]),
[iquote('0:EmS:1644.0,1644.1,328.1,350.1')] ).
cnf(1867,plain,
~ tptpcol_2_98304(c_tptpcol_16_62187),
inference(ems,[status(thm)],[1855,307,18]),
[iquote('0:EmS:1855.0,1855.1,307.1,18.0')] ).
cnf(1869,plain,
$false,
inference(ssi,[status(thm)],[1867,363,324,393,387,319,362,343,386,425,325,310,358,1,18,1135]),
[iquote('0:SSi:1867.0,363.0,324.0,393.0,387.1,319.1,362.1,343.1,386.1,425.1,325.1,310.1,358.1,1.1,18.1,1135.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR040+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 01:05:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.94
% 0.76/0.94 SPASS V 3.9
% 0.76/0.94 SPASS beiseite: Proof found.
% 0.76/0.94 % SZS status Theorem
% 0.76/0.94 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.94 SPASS derived 239 clauses, backtracked 0 clauses, performed 0 splits and kept 1140 clauses.
% 0.76/0.94 SPASS allocated 99840 KBytes.
% 0.76/0.94 SPASS spent 0:00:00.59 on the problem.
% 0.76/0.94 0:00:00.04 for the input.
% 0.76/0.94 0:00:00.19 for the FLOTTER CNF translation.
% 0.76/0.94 0:00:00.02 for inferences.
% 0.76/0.94 0:00:00.00 for the backtracking.
% 0.76/0.94 0:00:00.16 for the reduction.
% 0.76/0.94
% 0.76/0.94
% 0.76/0.94 Here is a proof with depth 3, length 26 :
% 0.76/0.94 % SZS output start Refutation
% See solution above
% 0.76/0.94 Formulae used in the proof : query90 ax1_475 ax1_50 ax1_69 ax1_96 ax1_114 ax1_117 ax1_124 ax1_151 ax1_185 ax1_205 ax1_234 ax1_242 ax1_251 ax1_266 ax1_341 ax1_343 ax1_360 ax1_445 ax1_459 ax1_289
% 0.76/0.94
%------------------------------------------------------------------------------