TSTP Solution File: SYN075+1 by CSE_E---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.6
% Problem  : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n003.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 Jun 18 08:39:01 EDT 2024

% Result   : Theorem 0.54s 0.91s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Jun 18 06:01:39 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.51/0.57  start to proof: theBenchmark
% 0.54/0.91  % Version  : CSE_E---1.6
% 0.54/0.91  % Problem  : theBenchmark.p
% 0.54/0.91  % Proof found
% 0.54/0.91  % SZS status Theorem for theBenchmark.p
% 0.54/0.91  % SZS output start Proof
% 0.54/0.91  [2]~P1(x22,x21)+E(x21,a1)
% 0.54/0.91  [3]~P1(x31,x32)+E(x31,a2)
% 0.54/0.91  [1]P1(x11,x12)+~E(x12,a1)+~E(x11,a2)
% 0.54/0.91  [4]~E(x42,f4(x41))+E(f3(x41),x41)+P1(x42,f3(x41))
% 0.54/0.91  [5]E(f3(x52),x52)+~P1(x51,f3(x52))+E(x51,f4(x52))
% 0.54/0.91  [6]~E(f3(x61),x61)+E(f5(x61,x62),x62)+P1(f5(x61,x62),f3(x61))
% 0.54/0.91  [7]~E(f3(x71),x71)+~E(f5(x71,x72),x72)+~P1(f5(x71,x72),f3(x71))
% 0.54/0.91  [8]E(x81,x81)
% 0.54/0.91  [9]E(x92,x91)+~E(x91,x92)
% 0.54/0.91  [10]E(x101,x103)+~E(x101,x102)+~E(x102,x103)
% 0.54/0.91  [11]~E(x111,x112)+E(f3(x111),f3(x112))
% 0.54/0.91  [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 0.54/0.91  [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 0.54/0.91  [14]~E(x141,x142)+E(f4(x141),f4(x142))
% 0.54/0.91  [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.54/0.91  [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.54/0.91  cnf(17,plain,
% 0.54/0.91     (E(f3(x171),x171)+P1(f4(x171),f3(x171))),
% 0.54/0.91     inference(equality_inference,[],[4])).
% 0.54/0.91  cnf(18,plain,
% 0.54/0.91     (E(f3(x181),x181)+E(f3(x181),a1)),
% 0.54/0.91     inference(scs_inference,[],[2,17])).
% 0.54/0.91  cnf(20,plain,
% 0.54/0.91     (E(f3(x201),f3(x202))+~E(x202,x201)),
% 0.54/0.91     inference(scs_inference,[],[9,11])).
% 0.54/0.91  cnf(39,plain,
% 0.54/0.91     (E(f5(a1,x391),x391)+P1(f5(a1,x391),f3(a1))),
% 0.54/0.91     inference(scs_inference,[],[6,18])).
% 0.54/0.91  cnf(40,plain,
% 0.54/0.91     (P1(f5(a1,x401),f3(a1))+E(f5(x402,f5(a1,x401)),f5(x402,x401))),
% 0.54/0.91     inference(scs_inference,[],[39,13])).
% 0.54/0.91  cnf(42,plain,
% 0.54/0.91     (~E(f5(a1,x421),x421)+~P1(f5(a1,x421),f3(a1))),
% 0.54/0.91     inference(scs_inference,[],[7,18])).
% 0.54/0.91  cnf(88,plain,
% 0.54/0.91     (~P1(x881,x882)+P1(x883,x882)+~E(x883,a2)),
% 0.54/0.91     inference(scs_inference,[],[2,1])).
% 0.54/0.91  cnf(89,plain,
% 0.54/0.91     (~P1(x891,x892)+P1(a2,x892)),
% 0.54/0.91     inference(equality_inference,[],[88])).
% 0.54/0.91  cnf(90,plain,
% 0.54/0.91     (E(f3(x901),x901)+P1(a2,f3(x901))),
% 0.54/0.91     inference(scs_inference,[],[89,17])).
% 0.54/0.91  cnf(91,plain,
% 0.54/0.91     (E(x911,f3(x911))+P1(a2,f3(x911))),
% 0.54/0.91     inference(scs_inference,[],[90,9])).
% 0.54/0.91  cnf(92,plain,
% 0.54/0.91     (P1(a2,f3(x921))+E(f3(x921),f3(f3(x921)))),
% 0.54/0.91     inference(scs_inference,[],[91,11])).
% 0.54/0.91  cnf(155,plain,
% 0.54/0.91     (~P1(f5(a1,a2),x1551)+~P1(f5(a1,a2),f3(a1))),
% 0.54/0.91     inference(scs_inference,[],[3,42])).
% 0.54/0.91  cnf(156,plain,
% 0.54/0.91     (~P1(f5(a1,a2),f3(a1))),
% 0.54/0.91     inference(factoring_inference,[],[155])).
% 0.54/0.91  cnf(157,plain,
% 0.54/0.91     (E(f5(a1,a2),a2)),
% 0.54/0.91     inference(scs_inference,[],[156,39])).
% 0.54/0.91  cnf(159,plain,
% 0.54/0.91     (E(f5(x1591,f5(a1,a2)),f5(x1591,a2))),
% 0.54/0.91     inference(scs_inference,[],[156,39,40])).
% 0.54/0.91  cnf(161,plain,
% 0.54/0.91     (E(a2,f5(a1,a2))),
% 0.54/0.91     inference(scs_inference,[],[156,39,40,9])).
% 0.54/0.91  cnf(162,plain,
% 0.54/0.91     (~P1(x1621,f3(a1))),
% 0.54/0.91     inference(scs_inference,[],[156,39,40,9,88])).
% 0.54/0.91  cnf(165,plain,
% 0.54/0.91     (E(f3(a1),a1)),
% 0.54/0.91     inference(scs_inference,[],[156,39,40,9,88,10,17])).
% 0.54/0.91  cnf(175,plain,
% 0.54/0.91     (~P1(x1751,f3(a1))),
% 0.54/0.91     inference(rename_variables,[],[162])).
% 0.54/0.91  cnf(178,plain,
% 0.54/0.91     (~P1(x1781,f3(a1))),
% 0.54/0.91     inference(rename_variables,[],[162])).
% 0.54/0.91  cnf(181,plain,
% 0.54/0.91     (~P1(x1811,f3(a1))),
% 0.54/0.91     inference(rename_variables,[],[162])).
% 0.54/0.92  cnf(183,plain,
% 0.54/0.92     (~P1(x1831,f3(a1))),
% 0.54/0.92     inference(rename_variables,[],[162])).
% 0.54/0.92  cnf(186,plain,
% 0.54/0.92     ($false),
% 0.54/0.92     inference(scs_inference,[],[157,165,159,162,175,178,181,183,161,91,92,39,40,20,9,1]),
% 0.54/0.92     ['proof']).
% 0.54/0.92  % SZS output end Proof
% 0.54/0.92  % Total time : 0.310000 s
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