TSTP Solution File: SYN000+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% 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 : 600s
% DateTime : Thu Jul 21 04:58:49 EDT 2022
% Result : Theorem 2.12s 1.10s
% Output : Proof 2.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:58:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.50/0.88 Prover 0: Preprocessing ...
% 1.66/1.02 Prover 0: Warning: ignoring some quantifiers
% 1.90/1.04 Prover 0: Constructing countermodel ...
% 2.12/1.10 Prover 0: proved (476ms)
% 2.12/1.10
% 2.12/1.10 No countermodel exists, formula is valid
% 2.12/1.10 % SZS status Theorem for theBenchmark
% 2.12/1.10
% 2.12/1.10 Generating proof ... Warning: ignoring some quantifiers
% 2.58/1.25 found it (size 4)
% 2.58/1.25
% 2.58/1.25 % SZS output start Proof for theBenchmark
% 2.58/1.25 Assumed formulas after preprocessing and simplification:
% 2.58/1.25 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (A function(a) = v3 & f(v4) = v5 & f(v1) = v2 & f(v0) = v1 & f(b) = v0 & ia3 & ia2 & ia1 & p(h) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (g(v10, v9, v8) = v7) | ~ (g(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (f(v7) = v9) | ~ (g(v6, v9, v8) = v10) | ~ s(v2) | ~ r(v6, v9, v10) | q(v6, a) | p(v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (f(v7) = v9) | ~ (g(v6, v9, v8) = v10) | s(v2) | r(v6, v9, v10) | q(v6, a) | p(v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (v2 = a) | v8 = v5 | v6 = v5 | ~ (g(v6, v5, v7) = v8)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (A function(v8) = v7) | ~ (A function(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (f(v8) = v7) | ~ (f(v8) = v6)) & ! [v6] : ( ~ q(v6, a) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (f(v7) = v9 & g(v6, v9, v8) = v10 & ( ~ s(v2) | r(v6, v9, v10)) & ( ~ r(v6, v9, v10) | s(v2)))) & ! [v6] : ( ~ p(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (f(v7) = v9 & g(v6, v9, v8) = v10 & r(v6, v9, v10) & ~ s(v2))) & ! [v6] : ( ~ p(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (f(v7) = v9 & g(v6, v9, v8) = v10 & ( ~ s(v2) | r(v6, v9, v10)) & ( ~ r(v6, v9, v10) | s(v2)))) & ! [v6] : ~ p(v6) & ? [v6] : (q(v6, a) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (f(v7) = v9 & g(v6, v9, v8) = v10 & r(v6, v9, v10) & ~ s(v2))) & ( ~ s0 | ~ p0 | r0 | q0) & (A predicate(a) | A proposition | p(v3) | p(A 'quoted \ escape') | p(A constant)))
% 2.58/1.29 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields:
% 2.58/1.29 | (1) A function(a) = all_0_2_2 & f(all_0_1_1) = all_0_0_0 & f(all_0_4_4) = all_0_3_3 & f(all_0_5_5) = all_0_4_4 & f(b) = all_0_5_5 & ia3 & ia2 & ia1 & p(h) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (g(v4, v3, v2) = v1) | ~ (g(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f(v1) = v3) | ~ (g(v0, v3, v2) = v4) | ~ s(all_0_3_3) | ~ r(v0, v3, v4) | q(v0, a) | p(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f(v1) = v3) | ~ (g(v0, v3, v2) = v4) | s(all_0_3_3) | r(v0, v3, v4) | q(v0, a) | p(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (all_0_3_3 = a) | v2 = all_0_0_0 | v0 = all_0_0_0 | ~ (g(v0, all_0_0_0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (A function(v2) = v1) | ~ (A function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0)) & ! [v0] : ( ~ q(v0, a) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & ( ~ s(all_0_3_3) | r(v0, v3, v4)) & ( ~ r(v0, v3, v4) | s(all_0_3_3)))) & ! [v0] : ( ~ p(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & r(v0, v3, v4) & ~ s(all_0_3_3))) & ! [v0] : ( ~ p(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & ( ~ s(all_0_3_3) | r(v0, v3, v4)) & ( ~ r(v0, v3, v4) | s(all_0_3_3)))) & ! [v0] : ~ p(v0) & ? [v0] : (q(v0, a) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & r(v0, v3, v4) & ~ s(all_0_3_3))) & ( ~ s0 | ~ p0 | r0 | q0) & (A predicate(a) | A proposition | p(all_0_2_2) | p(A 'quoted \ escape') | p(A constant))
% 2.58/1.30 |
% 2.58/1.30 | Applying alpha-rule on (1) yields:
% 2.58/1.30 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0))
% 2.58/1.30 | (3) ! [v0] : ( ~ p(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & ( ~ s(all_0_3_3) | r(v0, v3, v4)) & ( ~ r(v0, v3, v4) | s(all_0_3_3))))
% 2.75/1.30 | (4) ? [v0] : (q(v0, a) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & r(v0, v3, v4) & ~ s(all_0_3_3)))
% 2.75/1.30 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f(v1) = v3) | ~ (g(v0, v3, v2) = v4) | s(all_0_3_3) | r(v0, v3, v4) | q(v0, a) | p(v0))
% 2.75/1.30 | (6) f(all_0_4_4) = all_0_3_3
% 2.75/1.30 | (7) p(h)
% 2.75/1.30 | (8) ! [v0] : ( ~ q(v0, a) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & ( ~ s(all_0_3_3) | r(v0, v3, v4)) & ( ~ r(v0, v3, v4) | s(all_0_3_3))))
% 2.75/1.30 | (9) ia2
% 2.75/1.30 | (10) ! [v0] : ( ~ p(v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (f(v1) = v3 & g(v0, v3, v2) = v4 & r(v0, v3, v4) & ~ s(all_0_3_3)))
% 2.75/1.30 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (A function(v2) = v1) | ~ (A function(v2) = v0))
% 2.75/1.31 | (12) f(all_0_5_5) = all_0_4_4
% 2.75/1.31 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (g(v4, v3, v2) = v1) | ~ (g(v4, v3, v2) = v0))
% 2.75/1.31 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f(v1) = v3) | ~ (g(v0, v3, v2) = v4) | ~ s(all_0_3_3) | ~ r(v0, v3, v4) | q(v0, a) | p(v0))
% 2.75/1.31 | (15) ! [v0] : ~ p(v0)
% 2.75/1.31 | (16) A function(a) = all_0_2_2
% 2.75/1.31 | (17) ia1
% 2.75/1.31 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (all_0_3_3 = a) | v2 = all_0_0_0 | v0 = all_0_0_0 | ~ (g(v0, all_0_0_0, v1) = v2))
% 2.75/1.31 | (19) A predicate(a) | A proposition | p(all_0_2_2) | p(A 'quoted \ escape') | p(A constant)
% 2.75/1.31 | (20) f(all_0_1_1) = all_0_0_0
% 2.75/1.31 | (21) f(b) = all_0_5_5
% 2.75/1.31 | (22) ia3
% 2.75/1.31 | (23) ~ s0 | ~ p0 | r0 | q0
% 2.75/1.31 |
% 2.75/1.31 | Instantiating formula (15) with h and discharging atoms p(h), yields:
% 2.75/1.31 | (24) $false
% 2.75/1.31 |
% 2.75/1.31 |-The branch is then unsatisfiable
% 2.75/1.31 % SZS output end Proof for theBenchmark
% 2.75/1.31
% 2.75/1.31 722ms
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