TSTP Solution File: SYO640-10 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYO640-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 : Thu Jul 21 19:55:14 EDT 2022

% Result   : Satisfiable 0.19s 0.41s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 39)

% Comments : 
%------------------------------------------------------------------------------
cnf(48,plain,
    equal(ifeq(f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg,ifeq(f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[42,4]),
    [iquote('0:SpR:42.0,4.0')] ).

cnf(31,plain,
    equal(ifeq(f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg,ifeq(f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[27,4]),
    [iquote('0:SpR:27.0,4.0')] ).

cnf(54,plain,
    equal(ifeq(f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg,f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,50]),
    [iquote('0:Rew:1.0,50.0')] ).

cnf(53,plain,
    equal(ifeq(f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg,f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,49]),
    [iquote('0:Rew:1.0,49.0')] ).

cnf(13,plain,
    equal(ifeq(f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg,ifeq(f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[5,4]),
    [iquote('0:SpR:5.0,4.0')] ).

cnf(36,plain,
    equal(ifeq(f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg,f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,33]),
    [iquote('0:Rew:1.0,33.0')] ).

cnf(89,plain,
    equal(ifeq(f(u,u,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[35,4]),
    [iquote('0:SpR:35.0,4.0')] ).

cnf(35,plain,
    equal(ifeq(f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg,f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,32]),
    [iquote('0:Rew:1.0,32.0')] ).

cnf(81,plain,
    equal(ifeq(f(sK1_itmul0_Y3,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[30,12]),
    [iquote('0:SpR:30.0,12.0')] ).

cnf(12,plain,
    equal(ifeq(f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg,ifeq(f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[6,4]),
    [iquote('0:SpR:6.0,4.0')] ).

cnf(22,plain,
    equal(ifeq(f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg,f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18]),
    [iquote('0:Rew:1.0,18.0')] ).

cnf(21,plain,
    equal(ifeq(f(u,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg,f(u,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17]),
    [iquote('0:Rew:1.0,17.0')] ).

cnf(30,plain,
    equal(ifeq(f(sK3_itmul0_Y1,sK1_itmul0_Y3,sK4_itmul0_Y4),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[27,3]),
    [iquote('0:SpR:27.0,3.0')] ).

cnf(42,plain,
    equal(f(sK2_itmul0_Y2,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,39]),
    [iquote('0:Rew:1.0,39.0')] ).

cnf(20,plain,
    equal(ifeq(f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg,f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15]),
    [iquote('0:Rew:1.0,15.0')] ).

cnf(27,plain,
    equal(f(sK3_itmul0_Y1,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,26]),
    [iquote('0:Rew:1.0,26.0')] ).

cnf(19,plain,
    equal(ifeq(f(sK2_itmul0_Y2,u,sK4_itmul0_Y4),true__dfg,f(sK3_itmul0_Y1,u,sK4_itmul0_Y4),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14]),
    [iquote('0:Rew:1.0,14.0')] ).

cnf(16,plain,
    equal(ifeq(f(sK1_itmul0_Y3,sK3_itmul0_Y1,u),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,4]),
    [iquote('0:SpR:3.0,4.0')] ).

cnf(4,axiom,
    equal(ifeq(f(u,v,w),true__dfg,ifeq(f(x,u,w),true__dfg,f(x,v,w),true__dfg),true__dfg),true__dfg),
    file('SYO640-10.p',unknown),
    [] ).

cnf(3,axiom,
    equal(ifeq(f(sK3_itmul0_Y1,sK1_itmul0_Y3,u),true__dfg,f(sK3_itmul0_Y1,sK3_itmul0_Y1,u),true__dfg),true__dfg),
    file('SYO640-10.p',unknown),
    [] ).

cnf(1,axiom,
    equal(ifeq(u,u,v,w),v),
    file('SYO640-10.p',unknown),
    [] ).

cnf(2,axiom,
    ~ equal(f(sK3_itmul0_Y1,sK1_itmul0_Y3,sK4_itmul0_Y4),true__dfg),
    file('SYO640-10.p',unknown),
    [] ).

cnf(5,axiom,
    equal(f(sK2_itmul0_Y2,sK3_itmul0_Y1,sK4_itmul0_Y4),true__dfg),
    file('SYO640-10.p',unknown),
    [] ).

cnf(6,axiom,
    equal(f(sK3_itmul0_Y1,sK2_itmul0_Y2,sK4_itmul0_Y4),true__dfg),
    file('SYO640-10.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO640-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n015.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 Jul  9 03:29:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Completion found.
% 0.19/0.41  % SZS status CounterSatisfiable
% 0.19/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 104 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.19/0.41  SPASS allocated 63178 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.41  		0:00:00.03 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.01 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41   The saturated set of worked-off clauses is :
% 0.19/0.41  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------