TSTP Solution File: GRP123-6.003 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP123-6.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 11:21:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.66s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(product2_idempotence,axiom,
product2(X3,X3,X3),
input ).
cnf(product2_total_function2,axiom,
( ~ product2(X28,X29,X30)
| ~ product2(X28,X29,X27)
| equalish(X30,X27) ),
input ).
cnf(c9,plain,
( ~ product2(X32,X32,X31)
| equalish(X31,X32) ),
inference(resolution,status(thm),[product2_total_function2,product2_idempotence]) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X47,X49,X50)
| ~ product1(X50,X49,X48)
| product2(X48,X47,X49) ),
input ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(product1_idempotence,axiom,
product1(X2,X2,X2),
input ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X14,X16,X15)
| ~ product1(X14,X13,X15)
| equalish(X16,X13) ),
input ).
cnf(c5,plain,
( ~ product1(X18,X17,X18)
| equalish(X17,X18) ),
inference(resolution,status(thm),[product1_right_cancellation,product1_idempotence]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X20,X22,X19)
| ~ product1(X21,X22,X19)
| equalish(X20,X21) ),
input ).
cnf(c7,plain,
( ~ product1(X24,X25,X25)
| equalish(X24,X25) ),
inference(resolution,status(thm),[product1_left_cancellation,product1_idempotence]) ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(product1_total_function1,axiom,
( ~ group_element(X4)
| ~ group_element(X5)
| product1(X4,X5,e_1)
| product1(X4,X5,e_2)
| product1(X4,X5,e_3) ),
input ).
cnf(c0,plain,
( ~ group_element(X57)
| product1(X57,e_2,e_1)
| product1(X57,e_2,e_2)
| product1(X57,e_2,e_3) ),
inference(resolution,status(thm),[product1_total_function1,element_2]) ).
cnf(c21,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c47,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c21,c7]) ).
cnf(c62,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c47,e_3_is_not_e_2]) ).
cnf(c69,plain,
( product1(e_3,e_2,e_1)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c62,c5]) ).
cnf(c76,plain,
product1(e_3,e_2,e_1),
inference(resolution,status(thm),[c69,e_2_is_not_e_3]) ).
cnf(c80,plain,
( ~ product1(X66,e_2,e_3)
| product2(e_1,X66,e_2) ),
inference(resolution,status(thm),[c76,qg1a]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(c22,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c0,element_1]) ).
cnf(c84,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c22,c5]) ).
cnf(c157,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(resolution,status(thm),[c84,e_2_is_not_e_1]) ).
cnf(c163,plain,
( product1(e_1,e_2,e_3)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c157,c7]) ).
cnf(c174,plain,
product1(e_1,e_2,e_3),
inference(resolution,status(thm),[c163,e_1_is_not_e_2]) ).
cnf(c177,plain,
product2(e_1,e_1,e_2),
inference(resolution,status(thm),[c174,c80]) ).
cnf(c181,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c177,c9]) ).
cnf(c200,plain,
$false,
inference(resolution,status(thm),[c181,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-6.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 15:31:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.66 # Version: 1.3
% 0.19/0.66 # SZS status Unsatisfiable
% 0.19/0.66 # SZS output start CNFRefutation
% See solution above
% 0.19/0.66
% 0.19/0.66 # Initial clauses : 20
% 0.19/0.66 # Processed clauses : 54
% 0.19/0.66 # Factors computed : 0
% 0.19/0.66 # Resolvents computed: 201
% 0.19/0.66 # Tautologies deleted: 0
% 0.19/0.66 # Forward subsumed : 25
% 0.19/0.66 # Backward subsumed : 8
% 0.19/0.66 # -------- CPU Time ---------
% 0.19/0.66 # User time : 0.290 s
% 0.19/0.66 # System time : 0.019 s
% 0.19/0.66 # Total time : 0.309 s
%------------------------------------------------------------------------------