TSTP Solution File: RNG077+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Thu Aug 31 13:55:07 EDT 2023
% Result : Theorem 8.01s 1.64s
% Output : CNFRefutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 22 unt; 0 def)
% Number of atoms : 153 ( 75 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 172 ( 81 ~; 74 |; 15 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 3 sgn; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f59,conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(negated_conjecture,[],[f59]) ).
fof(f66,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(flattening,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f79]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f196,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f202,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f206,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f207,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf_transformation,[],[f66]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f135]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_71,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_118,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f196]) ).
cnf(c_124,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f202]) ).
cnf(c_127,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f207]) ).
cnf(c_128,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f206]) ).
cnf(c_136,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(cnf_transformation,[],[f215]) ).
cnf(c_622,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(light_normalisation,[status(thm)],[c_136,c_127]) ).
cnf(c_1113,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(subtyping,[status(esa)],[c_622]) ).
cnf(c_1124,plain,
sdtasdt0(xE,xH) = xP,
inference(subtyping,[status(esa)],[c_127]) ).
cnf(c_1178,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtpldt0(sdtpldt0(X0_15,X1_15),X2_15) = sdtpldt0(X0_15,sdtpldt0(X1_15,X2_15)) ),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_1181,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_1190,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1199,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1181]) ).
cnf(c_1200,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1181]) ).
cnf(c_1201,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1181]) ).
cnf(c_1207,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1210,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1214,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| sdtpldt0(X0_15,X2_15) = sdtpldt0(X1_15,X3_15) ),
theory(equality) ).
cnf(c_1262,plain,
( ~ aScalar0(sz0z00)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1199]) ).
cnf(c_1267,plain,
( sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1200,c_56,c_1262,c_1200,c_1201]) ).
cnf(c_1268,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1267]) ).
cnf(c_2323,plain,
( sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != X0_15
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != X0_15
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_2330,plain,
( sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_2323]) ).
cnf(c_2347,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xP)
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_2364,plain,
( ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_2370,plain,
( X0_15 != X1_15
| xP != X1_15
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_2418,plain,
( sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtasdt0(xH,xH))
| xP != xP
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1214]) ).
cnf(c_2443,plain,
( X0_15 != xP
| xP != xP
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_2370]) ).
cnf(c_2488,plain,
xP = xP,
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_2608,plain,
( sdtasdt0(xH,xE) != xP
| sdtasdt0(xH,xH) != sdtasdt0(xH,xH)
| sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1214]) ).
cnf(c_2811,plain,
( ~ aScalar0(xH)
| sdtasdt0(xH,xH) = sdtasdt0(xH,xH) ),
inference(instantiation,[status(thm)],[c_1268]) ).
cnf(c_3199,plain,
( sdtasdt0(xE,xH) != xP
| xP != xP
| xP = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_2443]) ).
cnf(c_3208,plain,
( X0_15 != X1_15
| xP != X1_15
| X0_15 = xP ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_4907,plain,
( X0_15 != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| X0_15 = xP ),
inference(instantiation,[status(thm)],[c_3208]) ).
cnf(c_12221,plain,
( sdtasdt0(xH,xE) != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| sdtasdt0(xH,xE) = xP ),
inference(instantiation,[status(thm)],[c_4907]) ).
cnf(c_13142,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| sdtasdt0(xH,xE) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_1268]) ).
cnf(c_13143,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13142,c_12221,c_3199,c_2811,c_2608,c_2488,c_2418,c_2364,c_2347,c_2330,c_1124,c_1113,c_118,c_124,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n004.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 : 300
% 0.11/0.33 % DateTime : Sun Aug 27 03:04:52 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.01/1.64 % SZS status Started for theBenchmark.p
% 8.01/1.64 % SZS status Theorem for theBenchmark.p
% 8.01/1.64
% 8.01/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.01/1.64
% 8.01/1.64 ------ iProver source info
% 8.01/1.64
% 8.01/1.64 git: date: 2023-05-31 18:12:56 +0000
% 8.01/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.01/1.64 git: non_committed_changes: false
% 8.01/1.64 git: last_make_outside_of_git: false
% 8.01/1.64
% 8.01/1.64 ------ Parsing...
% 8.01/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.01/1.64
% 8.01/1.64 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 8.01/1.64
% 8.01/1.64 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.01/1.64
% 8.01/1.64 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 8.01/1.64 ------ Proving...
% 8.01/1.64 ------ Problem Properties
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 clauses 90
% 8.01/1.64 conjectures 0
% 8.01/1.64 EPR 25
% 8.01/1.64 Horn 78
% 8.01/1.64 unary 39
% 8.01/1.64 binary 17
% 8.01/1.64 lits 222
% 8.01/1.64 lits eq 68
% 8.01/1.64 fd_pure 0
% 8.01/1.64 fd_pseudo 0
% 8.01/1.64 fd_cond 1
% 8.01/1.64 fd_pseudo_cond 5
% 8.01/1.64 AC symbols 0
% 8.01/1.64
% 8.01/1.64 ------ Input Options Time Limit: Unbounded
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 ------
% 8.01/1.64 Current options:
% 8.01/1.64 ------
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 ------ Proving...
% 8.01/1.64
% 8.01/1.64
% 8.01/1.64 % SZS status Theorem for theBenchmark.p
% 8.01/1.64
% 8.01/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.01/1.64
% 8.01/1.65
%------------------------------------------------------------------------------