TSTP Solution File: HAL007+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HAL007+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : Sat Jul 16 12:46:00 EDT 2022
% Result : Satisfiable 0.18s 0.46s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 46)
% Comments :
%------------------------------------------------------------------------------
cnf(47,plain,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| commute(x,u,x,u) ),
inference(con,[status(thm)],[46]),
[iquote('0:Con:46.2')] ).
cnf(27,axiom,
( ~ element(u,v)
| ~ equal(apply(w,u),skf15(w,v,x,y,z))
| ~ equal(apply(y,skf15(w,v,x,y,z)),zero(x))
| ~ element(skf15(w,v,x,y,z),z)
| ~ morphism(y,z,x)
| ~ morphism(w,v,z)
| exact(w,y) ),
file('HAL007+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ equal(apply(u,apply(v,skf17(w,x,y,v,u))),apply(y,apply(x,skf17(w,x,y,v,u))))
| ~ morphism(y,z,x1)
| ~ morphism(x,w,z)
| ~ morphism(u,x2,x1)
| ~ morphism(v,w,x2)
| commute(v,u,x,y) ),
file('HAL007+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ element(u,v)
| ~ morphism(w,x,y)
| ~ morphism(z,v,x)
| ~ morphism(x1,x2,y)
| ~ morphism(x3,v,x2)
| ~ commute(x3,x1,z,w)
| equal(apply(x1,apply(x3,u)),apply(w,apply(z,u))) ),
file('HAL007+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| exact(x,u)
| equal(apply(u,skf15(x,y,w,u,v)),zero(w))
| equal(apply(x,skf16(y,v,u,w,x)),skf15(x,y,w,u,v)) ),
file('HAL007+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| exact(x,u)
| equal(apply(x,skf16(y,v,u,w,x)),skf15(x,y,w,u,v))
| element(skf15(x,y,w,u,v),v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| ~ morphism(z,x1,w)
| ~ morphism(x2,y,x1)
| element(skf17(y,x3,x4,x5,x6),y)
| commute(x2,z,x,u) ),
file('HAL007+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ exact(u,v)
| ~ element(w,x)
| ~ equal(apply(v,w),zero(y))
| ~ morphism(v,x,y)
| ~ morphism(u,z,x)
| equal(apply(u,skf13(z,w,u)),w) ),
file('HAL007+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| exact(x,u)
| equal(apply(u,skf15(x,y,w,u,v)),zero(w))
| element(skf16(y,z,x1,x2,x3),y) ),
file('HAL007+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ exact(u,v)
| ~ element(w,x)
| ~ equal(apply(v,w),zero(y))
| ~ morphism(v,x,y)
| ~ morphism(u,z,x)
| element(skf13(z,x1,x2),z) ),
file('HAL007+1.p',unknown),
[] ).
cnf(45,plain,
( ~ exact(u,v)
| ~ element(w,x)
| ~ morphism(v,y,z)
| ~ morphism(u,x,y)
| equal(apply(v,apply(u,w)),zero(z)) ),
inference(eqr,[status(thm),theory(equality)],[18]),
[iquote('0:EqR:18.2')] ).
cnf(18,axiom,
( ~ exact(u,v)
| ~ element(w,x)
| ~ equal(apply(u,w),y)
| ~ morphism(v,z,x1)
| ~ morphism(u,x,z)
| equal(apply(v,y),zero(x1)) ),
file('HAL007+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ morphism(u,v,w)
| ~ morphism(x,y,v)
| exact(x,u)
| element(skf15(x,y,w,u,v),v)
| element(skf16(y,z,x1,x2,x3),y) ),
file('HAL007+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ element(u,v)
| ~ element(w,v)
| ~ morphism(x,v,y)
| equal(apply(x,subtract(v,w,u)),subtract(y,apply(x,w),apply(x,u))) ),
file('HAL007+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ exact(u,v)
| ~ element(w,x)
| ~ equal(apply(u,w),y)
| ~ morphism(v,z,x1)
| ~ morphism(u,x,z)
| element(y,z) ),
file('HAL007+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ injection(u)
| ~ element(v,w)
| ~ element(x,w)
| ~ equal(apply(u,x),apply(u,v))
| ~ morphism(u,w,y)
| equal(x,v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ element(u,v)
| ~ equal(apply(w,u),skf12(x,w,v))
| ~ morphism(w,v,x)
| surjection(w) ),
file('HAL007+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ surjection(u)
| ~ element(v,w)
| ~ morphism(u,x,w)
| equal(apply(u,skf10(x,v,u)),v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ surjection(u)
| ~ element(v,w)
| ~ morphism(u,x,w)
| element(skf10(x,y,z),x) ),
file('HAL007+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ morphism(u,v,w)
| injection(u)
| equal(apply(u,skf9(v,u)),apply(u,skf8(v,u))) ),
file('HAL007+1.p',unknown),
[] ).
cnf(37,plain,
( ~ element(u,v)
| equal(subtract(v,u,zero(v)),u) ),
inference(obv,[status(thm),theory(equality)],[36]),
[iquote('0:Obv:36.1')] ).
cnf(9,axiom,
( ~ element(u,v)
| ~ element(w,v)
| equal(subtract(v,w,subtract(v,w,u)),u) ),
file('HAL007+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(skf9(u,v),skf8(u,v))
| ~ morphism(v,u,w)
| injection(v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ element(u,v)
| ~ morphism(w,v,x)
| element(apply(w,u),x) ),
file('HAL007+1.p',unknown),
[] ).
cnf(30,plain,
( ~ element(u,v)
| element(zero(v),v) ),
inference(obv,[status(thm),theory(equality)],[29]),
[iquote('0:Obv:29.1')] ).
cnf(7,axiom,
( ~ element(u,v)
| ~ element(w,v)
| element(subtract(v,w,u),v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ morphism(u,v,w)
| surjection(u)
| element(skf12(w,x,y),w) ),
file('HAL007+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ morphism(u,v,w)
| injection(u)
| element(skf9(v,x),v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ morphism(u,v,w)
| injection(u)
| element(skf8(v,x),v) ),
file('HAL007+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ morphism(u,v,w)
| equal(apply(u,zero(v)),zero(w)) ),
file('HAL007+1.p',unknown),
[] ).
cnf(1,axiom,
( ~ element(u,v)
| equal(subtract(v,u,u),zero(v)) ),
file('HAL007+1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HAL007+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 21:14:16 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Completion found.
% 0.18/0.46 % SZS status CounterSatisfiable
% 0.18/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 31 clauses.
% 0.18/0.46 SPASS allocated 98004 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.46 0:00:00.03 for the input.
% 0.18/0.46 0:00:00.06 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.00 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 The saturated set of worked-off clauses is :
% 0.18/0.46 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------