TSTP Solution File: GRP025-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:19:48 EDT 2024
% Result : Unsatisfiable 3.86s 1.16s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_member(a,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_member_of_group1) ).
cnf(c_50,plain,
group_member(b,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_member_of_group1) ).
cnf(c_53,plain,
( ~ group_member(X0,g1)
| X0 = a
| X0 = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_only_members_of_group1) ).
cnf(c_57,plain,
product(g1,b,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_is_b) ).
cnf(c_58,plain,
product(g1,b,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_b_is_a) ).
cnf(c_59,plain,
product(g2,c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_c_is_c) ).
cnf(c_60,plain,
product(g2,c,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_d_is_d) ).
cnf(c_61,plain,
product(g2,d,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_c_is_d) ).
cnf(c_62,plain,
product(g2,d,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_d_is_c) ).
cnf(c_63,plain,
an_isomorphism(a) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_maps_to_c) ).
cnf(c_64,plain,
an_isomorphism(b) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_maps_to_d) ).
cnf(c_65,plain,
group_member(d1,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_member_of_group1) ).
cnf(c_66,plain,
group_member(d2,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_member_of_group1) ).
cnf(c_68,plain,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_times_d2_is_d3) ).
cnf(c_69,negated_conjecture,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_holds_in_group2) ).
cnf(c_70,plain,
group_member(identity_for(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',identity_in_group) ).
cnf(c_71,plain,
product(X0,identity_for(X0),X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',left_identity) ).
cnf(c_75,plain,
product(X0,X1,inverse(X0,X1),identity_for(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',right_inverse) ).
cnf(c_76,plain,
( ~ group_member(X0,X1)
| ~ group_member(X2,X1)
| product(X1,X0,X2,multiply(X1,X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function1_1) ).
cnf(c_78,plain,
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,X2,X4)
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function2) ).
cnf(c_244,plain,
an_isomorphism(d1) = sP0_iProver_def,
definition ).
cnf(c_245,plain,
an_isomorphism(d2) = sP1_iProver_def,
definition ).
cnf(c_246,plain,
an_isomorphism(d3) = sP2_iProver_def,
definition ).
cnf(c_247,negated_conjecture,
~ product(g2,sP0_iProver_def,sP1_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_69,c_246,c_245,c_244]) ).
cnf(c_556,plain,
( a = d1
| b = d1 ),
inference(superposition,[status(thm)],[c_65,c_53]) ).
cnf(c_557,plain,
( a = d2
| b = d2 ),
inference(superposition,[status(thm)],[c_66,c_53]) ).
cnf(c_559,plain,
( identity_for(g1) = a
| identity_for(g1) = b ),
inference(superposition,[status(thm)],[c_70,c_53]) ).
cnf(c_577,plain,
( an_isomorphism(b) = sP0_iProver_def
| a = d1 ),
inference(superposition,[status(thm)],[c_556,c_244]) ).
cnf(c_582,plain,
( a = d1
| d = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_577,c_64]) ).
cnf(c_589,plain,
( an_isomorphism(b) = sP1_iProver_def
| a = d2 ),
inference(superposition,[status(thm)],[c_557,c_245]) ).
cnf(c_594,plain,
( a = d2
| d = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_589,c_64]) ).
cnf(c_629,plain,
( an_isomorphism(a) = sP1_iProver_def
| d = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_594,c_245]) ).
cnf(c_634,plain,
( c = sP1_iProver_def
| d = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_629,c_63]) ).
cnf(c_680,plain,
( c = sP1_iProver_def
| product(g2,c,sP1_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_634,c_60]) ).
cnf(c_798,plain,
( ~ product(g1,b,a,X0)
| X0 = b ),
inference(superposition,[status(thm)],[c_57,c_78]) ).
cnf(c_799,plain,
( ~ product(g1,b,b,X0)
| X0 = a ),
inference(superposition,[status(thm)],[c_58,c_78]) ).
cnf(c_804,plain,
( ~ product(g1,d1,d2,X0)
| X0 = d3 ),
inference(superposition,[status(thm)],[c_68,c_78]) ).
cnf(c_805,plain,
( ~ product(X0,identity_for(X0),X1,X2)
| X1 = X2 ),
inference(superposition,[status(thm)],[c_71,c_78]) ).
cnf(c_1688,plain,
( ~ group_member(a,g1)
| ~ group_member(b,g1)
| multiply(g1,b,a) = b ),
inference(superposition,[status(thm)],[c_76,c_798]) ).
cnf(c_1689,plain,
multiply(g1,b,a) = b,
inference(forward_subsumption_resolution,[status(thm)],[c_1688,c_50,c_49]) ).
cnf(c_1710,plain,
( ~ group_member(b,g1)
| multiply(g1,b,b) = a ),
inference(superposition,[status(thm)],[c_76,c_799]) ).
cnf(c_1711,plain,
multiply(g1,b,b) = a,
inference(forward_subsumption_resolution,[status(thm)],[c_1710,c_50]) ).
cnf(c_2009,plain,
( ~ group_member(d1,g1)
| ~ group_member(d2,g1)
| multiply(g1,d1,d2) = d3 ),
inference(superposition,[status(thm)],[c_76,c_804]) ).
cnf(c_2016,plain,
multiply(g1,d1,d2) = d3,
inference(forward_subsumption_resolution,[status(thm)],[c_2009,c_66,c_65]) ).
cnf(c_2039,plain,
( multiply(g1,b,d2) = d3
| a = d1 ),
inference(superposition,[status(thm)],[c_556,c_2016]) ).
cnf(c_2041,plain,
( multiply(g1,d1,b) = d3
| a = d2 ),
inference(superposition,[status(thm)],[c_557,c_2016]) ).
cnf(c_2286,plain,
inverse(X0,identity_for(X0)) = identity_for(X0),
inference(superposition,[status(thm)],[c_75,c_805]) ).
cnf(c_2302,plain,
( inverse(g1,b) = b
| identity_for(g1) = a ),
inference(superposition,[status(thm)],[c_559,c_2286]) ).
cnf(c_2906,plain,
( identity_for(g1) = a
| product(g1,b,b,identity_for(g1)) ),
inference(superposition,[status(thm)],[c_2302,c_75]) ).
cnf(c_3001,plain,
identity_for(g1) = a,
inference(forward_subsumption_resolution,[status(thm)],[c_2906,c_799]) ).
cnf(c_3006,plain,
( ~ product(g1,a,X0,X1)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_3001,c_805]) ).
cnf(c_3581,plain,
( ~ group_member(X0,g1)
| ~ group_member(a,g1)
| multiply(g1,a,X0) = X0 ),
inference(superposition,[status(thm)],[c_76,c_3006]) ).
cnf(c_3589,plain,
( ~ group_member(X0,g1)
| multiply(g1,a,X0) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3581,c_49]) ).
cnf(c_4105,plain,
multiply(g1,a,d2) = d2,
inference(superposition,[status(thm)],[c_66,c_3589]) ).
cnf(c_4652,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_4105,c_2041,c_2039,c_2016,c_1711,c_1689,c_680,c_634,c_594,c_582,c_556,c_247,c_246,c_245,c_244,c_64,c_63,c_62,c_61,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:42:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.86/1.16 % SZS status Started for theBenchmark.p
% 3.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.16
% 3.86/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.86/1.16
% 3.86/1.16 ------ iProver source info
% 3.86/1.16
% 3.86/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.86/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.86/1.16 git: non_committed_changes: false
% 3.86/1.16
% 3.86/1.16 ------ Parsing...successful
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.86/1.16
% 3.86/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/1.16 ------ Proving...
% 3.86/1.16 ------ Problem Properties
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 clauses 35
% 3.86/1.16 conjectures 1
% 3.86/1.16 EPR 22
% 3.86/1.16 Horn 33
% 3.86/1.16 unary 27
% 3.86/1.16 binary 1
% 3.86/1.16 lits 52
% 3.86/1.16 lits eq 10
% 3.86/1.16 fd_pure 0
% 3.86/1.16 fd_pseudo 0
% 3.86/1.16 fd_cond 2
% 3.86/1.16 fd_pseudo_cond 1
% 3.86/1.16 AC symbols 0
% 3.86/1.16
% 3.86/1.16 ------ Schedule dynamic 5 is on
% 3.86/1.16
% 3.86/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------
% 3.86/1.16 Current options:
% 3.86/1.16 ------
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 ------ Proving...
% 3.86/1.16
% 3.86/1.16
% 3.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.16
% 3.86/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.16
% 3.86/1.17
%------------------------------------------------------------------------------