TSTP Solution File: GRP755-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP755-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Fri May 3 02:23:37 EDT 2024
% Result : Unsatisfiable 264.85s 34.91s
% Output : CNFRefutation 264.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of clauses : 58 ( 31 unt; 26 nHn; 6 RR)
% Number of literals : 86 ( 85 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c_55,plain,
( mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2))
| mult(mult(X0,X2),X1) = mult(X0,mult(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(c_56,plain,
( mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2))
| mult(mult(X0,X1),X2) = mult(X0,mult(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(c_57,plain,
ld(X0,unit) = i(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
cnf(c_58,negated_conjecture,
mult(i(b),i(a)) != i(mult(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_476,plain,
( mult(X0,mult(X1,X1)) != mult(X0,mult(X1,X1))
| mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)) ),
inference(equality_factoring,[status(thm)],[c_55]) ).
cnf(c_478,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(equality_resolution_simp,[status(thm)],[c_476]) ).
cnf(c_563,plain,
( mult(mult(mult(X0,X1),X1),X2) = mult(mult(X0,X1),mult(X1,X2))
| mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X2,X1)) ),
inference(superposition,[status(thm)],[c_478,c_56]) ).
cnf(c_568,plain,
( mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2))
| mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X2,X1)) ),
inference(demodulation,[status(thm)],[c_563,c_478]) ).
cnf(c_163419,plain,
mult(X0,i(X0)) = unit,
inference(superposition,[status(thm)],[c_57,c_49]) ).
cnf(c_163457,plain,
( mult(mult(X0,mult(X1,X1)),ld(mult(X0,mult(X1,X1)),X2)) = mult(mult(X0,X1),mult(ld(mult(X0,mult(X1,X1)),X2),X1))
| mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2 ),
inference(superposition,[status(thm)],[c_568,c_49]) ).
cnf(c_163458,plain,
( mult(mult(X0,mult(X1,X1)),unit) = mult(mult(X0,X1),mult(unit,X1))
| mult(mult(X0,X1),mult(X1,unit)) = mult(X0,mult(X1,X1)) ),
inference(superposition,[status(thm)],[c_568,c_53]) ).
cnf(c_163467,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_163458,c_53,c_54]) ).
cnf(c_163477,plain,
( mult(mult(X0,X1),mult(ld(mult(X0,mult(X1,X1)),X2),X1)) = X2
| mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2 ),
inference(demodulation,[status(thm)],[c_163457,c_49]) ).
cnf(c_163490,plain,
ld(X0,X0) = unit,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_163497,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_163505,plain,
rd(X0,X0) = unit,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_163536,plain,
( mult(mult(X0,i(X0)),X1) = mult(X0,mult(X1,i(X0)))
| mult(X0,mult(i(X0),X1)) = mult(unit,X1) ),
inference(superposition,[status(thm)],[c_163419,c_56]) ).
cnf(c_163569,plain,
( mult(X0,mult(i(X0),X1)) = X1
| mult(X0,mult(X1,i(X0))) = X1 ),
inference(demodulation,[status(thm)],[c_163536,c_54,c_163419]) ).
cnf(c_163628,plain,
rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_163467,c_52]) ).
cnf(c_163678,plain,
( mult(mult(X0,X1),i(X0)) = mult(X0,mult(i(X0),X1))
| mult(X0,mult(i(X0),X1)) = mult(unit,X1) ),
inference(superposition,[status(thm)],[c_163419,c_55]) ).
cnf(c_163721,plain,
( mult(mult(X0,X1),i(X0)) = mult(X0,mult(i(X0),X1))
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(demodulation,[status(thm)],[c_163678,c_54]) ).
cnf(c_164307,plain,
mult(rd(X0,mult(X1,X1)),X1) = rd(X0,X1),
inference(superposition,[status(thm)],[c_51,c_163628]) ).
cnf(c_173100,plain,
( mult(X0,mult(i(X0),X1)) = X1
| mult(X1,i(X0)) = ld(X0,X1) ),
inference(superposition,[status(thm)],[c_163569,c_50]) ).
cnf(c_174011,plain,
( mult(i(X1),X0) = ld(X1,X0)
| mult(X0,i(X1)) = ld(X1,X0) ),
inference(superposition,[status(thm)],[c_173100,c_50]) ).
cnf(c_176718,plain,
( rd(ld(X0,X1),i(X0)) = X1
| mult(i(X0),X1) = ld(X0,X1) ),
inference(superposition,[status(thm)],[c_174011,c_52]) ).
cnf(c_176769,plain,
( mult(i(X0),mult(X0,X1)) = ld(X0,mult(X0,X1))
| mult(X0,mult(i(X0),X1)) = ld(X0,mult(X0,X1))
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(superposition,[status(thm)],[c_174011,c_163721]) ).
cnf(c_177075,plain,
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,mult(i(X0),X1)) = X1 ),
inference(demodulation,[status(thm)],[c_176769,c_50]) ).
cnf(c_179422,plain,
( mult(X0,mult(i(X0),X0)) = X0
| mult(i(X0),X0) = rd(X0,X0) ),
inference(superposition,[status(thm)],[c_177075,c_163628]) ).
cnf(c_179434,plain,
( mult(X0,mult(i(X0),X0)) = X0
| mult(i(X0),X0) = unit ),
inference(demodulation,[status(thm)],[c_179422,c_163505]) ).
cnf(c_179517,plain,
( mult(i(X0),X0) = ld(X0,X0)
| mult(i(X0),X0) = unit ),
inference(superposition,[status(thm)],[c_179434,c_50]) ).
cnf(c_179583,plain,
mult(i(X0),X0) = unit,
inference(demodulation,[status(thm)],[c_179517,c_163490]) ).
cnf(c_179624,plain,
( mult(mult(i(X0),X0),X1) = mult(i(X0),mult(X0,X1))
| mult(i(X0),mult(X1,X0)) = mult(unit,X1) ),
inference(superposition,[status(thm)],[c_179583,c_56]) ).
cnf(c_179626,plain,
ld(i(X0),unit) = X0,
inference(superposition,[status(thm)],[c_179583,c_50]) ).
cnf(c_179708,plain,
i(i(X0)) = X0,
inference(demodulation,[status(thm)],[c_179626,c_57]) ).
cnf(c_179736,plain,
( mult(i(X0),mult(X0,X1)) = X1
| mult(i(X0),mult(X1,X0)) = X1 ),
inference(demodulation,[status(thm)],[c_179624,c_54,c_179583]) ).
cnf(c_180061,plain,
( mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,ld(mult(rd(X0,mult(X1,X1)),mult(X1,X1)),X2))) = X2
| mult(mult(rd(X0,mult(X1,X1)),X1),mult(ld(X0,X2),X1)) = X2 ),
inference(superposition,[status(thm)],[c_51,c_163477]) ).
cnf(c_180223,plain,
( mult(rd(X0,X1),mult(ld(X0,X2),X1)) = X2
| mult(rd(X0,X1),mult(X1,ld(X0,X2))) = X2 ),
inference(demodulation,[status(thm)],[c_180061,c_51,c_164307]) ).
cnf(c_180401,plain,
( mult(i(X0),mult(ld(X0,X1),X0)) = ld(X0,X1)
| mult(i(X0),X1) = ld(X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_179736]) ).
cnf(c_180873,plain,
( mult(rd(X0,i(ld(X0,X1))),mult(i(ld(X0,X1)),ld(X0,X1))) = X1
| mult(rd(X0,i(ld(X0,X1))),unit) = X1 ),
inference(superposition,[status(thm)],[c_163419,c_180223]) ).
cnf(c_181120,plain,
rd(X0,i(ld(X0,X1))) = X1,
inference(demodulation,[status(thm)],[c_180873,c_53,c_179583]) ).
cnf(c_181831,plain,
rd(X0,i(X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_50,c_181120]) ).
cnf(c_181885,plain,
i(ld(X0,X1)) = ld(X1,X0),
inference(superposition,[status(thm)],[c_181120,c_163497]) ).
cnf(c_181934,plain,
( mult(ld(X0,X1),X0) = X1
| mult(i(X0),X1) = ld(X0,X1) ),
inference(demodulation,[status(thm)],[c_176718,c_181831]) ).
cnf(c_181959,plain,
mult(X0,i(X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_179708,c_181831]) ).
cnf(c_182041,plain,
rd(i(b),a) != i(mult(a,b)),
inference(demodulation,[status(thm)],[c_58,c_181959]) ).
cnf(c_219174,plain,
mult(i(X0),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_181934,c_180401]) ).
cnf(c_219225,plain,
ld(i(X0),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_179708,c_219174]) ).
cnf(c_219505,plain,
ld(X0,i(X1)) = rd(i(X0),X1),
inference(superposition,[status(thm)],[c_219174,c_181959]) ).
cnf(c_219768,plain,
ld(b,i(a)) != i(mult(a,b)),
inference(demodulation,[status(thm)],[c_182041,c_219505]) ).
cnf(c_219806,plain,
ld(X0,i(X1)) = i(mult(X1,X0)),
inference(superposition,[status(thm)],[c_219225,c_181885]) ).
cnf(c_219896,plain,
i(mult(a,b)) != i(mult(a,b)),
inference(demodulation,[status(thm)],[c_219768,c_219806]) ).
cnf(c_219898,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_219896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP755-1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.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 : 300
% 0.13/0.34 % DateTime : Fri May 3 00:07:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 264.85/34.91 % SZS status Started for theBenchmark.p
% 264.85/34.91 % SZS status Unsatisfiable for theBenchmark.p
% 264.85/34.91
% 264.85/34.91 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 264.85/34.91
% 264.85/34.91 ------ iProver source info
% 264.85/34.91
% 264.85/34.91 git: date: 2024-05-02 19:28:25 +0000
% 264.85/34.91 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 264.85/34.91 git: non_committed_changes: false
% 264.85/34.91
% 264.85/34.91 ------ Parsing...successful
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 264.85/34.91
% 264.85/34.91 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 264.85/34.91
% 264.85/34.91 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 264.85/34.91 ------ Proving...
% 264.85/34.91 ------ Problem Properties
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91 clauses 10
% 264.85/34.91 conjectures 1
% 264.85/34.91 EPR 0
% 264.85/34.91 Horn 8
% 264.85/34.91 unary 8
% 264.85/34.91 binary 2
% 264.85/34.91 lits 12
% 264.85/34.91 lits eq 12
% 264.85/34.91 fd_pure 0
% 264.85/34.91 fd_pseudo 0
% 264.85/34.91 fd_cond 0
% 264.85/34.91 fd_pseudo_cond 0
% 264.85/34.91 AC symbols 0
% 264.85/34.91
% 264.85/34.91 ------ Input Options Time Limit: Unbounded
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91 ------
% 264.85/34.91 Current options:
% 264.85/34.91 ------
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91 ------ Proving...
% 264.85/34.91
% 264.85/34.91
% 264.85/34.91 % SZS status Unsatisfiable for theBenchmark.p
% 264.85/34.91
% 264.85/34.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 264.85/34.91
% 264.85/34.91
%------------------------------------------------------------------------------