%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KLE075+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n016.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 : Sun Jul 17 01:51:15 EDT 2022 % Result : Theorem 2.72s 1.39s % Output : Proof 4.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : KLE075+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.35 % Computer : n016.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 : 600 % 0.13/0.35 % DateTime : Thu Jun 16 11:40:04 EDT 2022 % 0.13/0.35 % CPUTime : % 0.62/0.62 ____ _ % 0.62/0.62 ___ / __ \_____(_)___ ________ __________ % 0.62/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.62/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.62/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.62/0.62 % 0.62/0.62 A Theorem Prover for First-Order Logic % 0.65/0.63 (ePrincess v.1.0) % 0.65/0.63 % 0.65/0.63 (c) Philipp Rümmer, 2009-2015 % 0.65/0.63 (c) Peter Backeman, 2014-2015 % 0.65/0.63 (contributions by Angelo Brillout, Peter Baumgartner) % 0.65/0.63 Free software under GNU Lesser General Public License (LGPL). % 0.65/0.63 Bug reports to peter@backeman.se % 0.65/0.63 % 0.65/0.63 For more information, visit http://user.uu.se/~petba168/breu/ % 0.65/0.63 % 0.65/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.65/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.49/0.99 Prover 0: Preprocessing ... % 2.19/1.27 Prover 0: Constructing countermodel ... % 2.72/1.39 Prover 0: proved (688ms) % 2.72/1.39 % 2.72/1.39 No countermodel exists, formula is valid % 2.72/1.39 % SZS status Theorem for theBenchmark % 2.72/1.39 % 2.72/1.39 Generating proof ... found it (size 14) % 3.71/1.62 % 3.71/1.62 % SZS output start Proof for theBenchmark % 3.71/1.62 Assumed formulas after preprocessing and simplification: % 3.71/1.63 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v1) & domain(v2) = v3 & domain(v0) = v1 & domain(zero) = zero & multiplication(one, v1) = v2 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v5, v6) = v8) | ~ (multiplication(v4, v6) = v7) | ~ (addition(v7, v8) = v9) | ? [v10] : (multiplication(v10, v6) = v9 & addition(v4, v5) = v10)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v4, v6) = v8) | ~ (multiplication(v4, v5) = v7) | ~ (addition(v7, v8) = v9) | ? [v10] : (multiplication(v4, v10) = v9 & addition(v5, v6) = v10)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (domain(v5) = v7) | ~ (domain(v4) = v6) | ~ (addition(v6, v7) = v8) | ? [v9] : (domain(v9) = v8 & addition(v4, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v7, v6) = v8) | ~ (multiplication(v4, v5) = v7) | ? [v9] : (multiplication(v5, v6) = v9 & multiplication(v4, v9) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v7, v6) = v8) | ~ (addition(v4, v5) = v7) | ? [v9] : ? [v10] : (multiplication(v5, v6) = v10 & multiplication(v4, v6) = v9 & addition(v9, v10) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v5, v6) = v7) | ~ (multiplication(v4, v7) = v8) | ? [v9] : (multiplication(v9, v6) = v8 & multiplication(v4, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v7) = v8) | ~ (addition(v5, v6) = v7) | ? [v9] : ? [v10] : (multiplication(v4, v6) = v10 & multiplication(v4, v5) = v9 & addition(v9, v10) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (addition(v7, v4) = v8) | ~ (addition(v6, v5) = v7) | ? [v9] : (addition(v6, v9) = v8 & addition(v5, v4) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (addition(v6, v7) = v8) | ~ (addition(v5, v4) = v7) | ? [v9] : (addition(v9, v4) = v8 & addition(v6, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ (domain(v4) = v5) | ~ (multiplication(v5, v4) = v6) | ~ (addition(v4, v6) = v7)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (multiplication(v7, v6) = v5) | ~ (multiplication(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (addition(v7, v6) = v5) | ~ (addition(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (domain(v5) = v6) | ~ (multiplication(v4, v6) = v7) | ? [v8] : ? [v9] : (domain(v8) = v9 & domain(v7) = v9 & multiplication(v4, v5) = v8)) & ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (addition(v4, v5) = v6) | ~ leq(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (domain(v6) = v5) | ~ (domain(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (domain(v4) = v5) | ~ (multiplication(v5, v4) = v6) | addition(v4, v6) = v6) & ! [v4] : ! [v5] : ! [v6] : ( ~ (multiplication(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (domain(v9) = v7 & domain(v6) = v7 & domain(v5) = v8 & multiplication(v4, v8) = v9)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (addition(v5, v4) = v6) | addition(v4, v5) = v6) & ! [v4] : ! [v5] : ! [v6] : ( ~ (addition(v4, v5) = v6) | addition(v5, v4) = v6) & ! [v4] : ! [v5] : ! [v6] : ( ~ (addition(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (domain(v6) = v7 & domain(v5) = v9 & domain(v4) = v8 & addition(v8, v9) = v7)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (multiplication(v4, one) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (multiplication(one, v4) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v4, v4) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v4, zero) = v5)) & ! [v4] : ! [v5] : (v5 = zero | ~ (multiplication(v4, zero) = v5)) & ! [v4] : ! [v5] : (v5 = zero | ~ (multiplication(zero, v4) = v5)) & ! [v4] : ! [v5] : ( ~ (domain(v4) = v5) | addition(v5, one) = one) & ! [v4] : ! [v5] : ( ~ (addition(v4, v5) = v5) | leq(v4, v5))) % 3.71/1.67 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 3.71/1.67 | (1) ~ (all_0_0_0 = all_0_2_2) & domain(all_0_1_1) = all_0_0_0 & domain(all_0_3_3) = all_0_2_2 & domain(zero) = zero & multiplication(one, all_0_2_2) = all_0_1_1 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (domain(v1) = v3) | ~ (domain(v0) = v2) | ~ (addition(v2, v3) = v4) | ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (domain(v0) = v1) | ~ (multiplication(v1, v0) = v2) | ~ (addition(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (domain(v1) = v2) | ~ (multiplication(v0, v2) = v3) | ? [v4] : ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ~ leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (domain(v2) = v1) | ~ (domain(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (domain(v0) = v1) | ~ (multiplication(v1, v0) = v2) | addition(v0, v2) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1)) % 3.71/1.68 | % 3.71/1.68 | Applying alpha-rule on (1) yields: % 3.71/1.68 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) % 3.71/1.68 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5)) % 3.71/1.68 | (4) domain(all_0_1_1) = all_0_0_0 % 3.71/1.68 | (5) ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one) % 3.71/1.68 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) % 3.71/1.68 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ~ leq(v0, v1)) % 3.71/1.68 | (8) domain(zero) = zero % 3.71/1.68 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) % 3.71/1.68 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) % 3.71/1.68 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) % 3.71/1.68 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) % 3.71/1.68 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) % 3.71/1.68 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) % 3.71/1.68 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) % 3.71/1.68 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3)) % 3.71/1.68 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) % 3.71/1.68 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) % 3.71/1.68 | (19) domain(all_0_3_3) = all_0_2_2 % 3.71/1.68 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (domain(v0) = v1) | ~ (multiplication(v1, v0) = v2) | addition(v0, v2) = v2) % 3.71/1.68 | (21) ~ (all_0_0_0 = all_0_2_2) % 3.71/1.68 | (22) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) % 3.71/1.69 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (domain(v0) = v1) | ~ (multiplication(v1, v0) = v2) | ~ (addition(v0, v2) = v3)) % 3.71/1.69 | (24) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) % 3.71/1.69 | (25) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) % 3.71/1.69 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) % 3.71/1.69 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) % 3.71/1.69 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (domain(v1) = v3) | ~ (domain(v0) = v2) | ~ (addition(v2, v3) = v4) | ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5)) % 3.71/1.69 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (domain(v2) = v1) | ~ (domain(v2) = v0)) % 3.71/1.69 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) % 3.71/1.69 | (31) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) % 3.71/1.69 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (domain(v1) = v2) | ~ (multiplication(v0, v2) = v3) | ? [v4] : ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4)) % 3.71/1.69 | (33) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1)) % 3.71/1.69 | (34) multiplication(one, all_0_2_2) = all_0_1_1 % 3.71/1.69 | % 4.08/1.69 | Instantiating formula (25) with all_0_1_1, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_0_1_1, yields: % 4.08/1.69 | (35) all_0_1_1 = all_0_2_2 % 4.08/1.69 | % 4.08/1.69 | From (35) and (4) follows: % 4.08/1.69 | (36) domain(all_0_2_2) = all_0_0_0 % 4.08/1.69 | % 4.08/1.69 | From (35) and (34) follows: % 4.08/1.69 | (37) multiplication(one, all_0_2_2) = all_0_2_2 % 4.08/1.69 | % 4.08/1.69 | Instantiating formula (32) with all_0_2_2, all_0_2_2, all_0_3_3, one and discharging atoms domain(all_0_3_3) = all_0_2_2, multiplication(one, all_0_2_2) = all_0_2_2, yields: % 4.08/1.69 | (38) ? [v0] : ? [v1] : (domain(v0) = v1 & domain(all_0_2_2) = v1 & multiplication(one, all_0_3_3) = v0) % 4.08/1.69 | % 4.08/1.69 | Instantiating (38) with all_15_0_7, all_15_1_8 yields: % 4.08/1.69 | (39) domain(all_15_1_8) = all_15_0_7 & domain(all_0_2_2) = all_15_0_7 & multiplication(one, all_0_3_3) = all_15_1_8 % 4.08/1.69 | % 4.08/1.69 | Applying alpha-rule on (39) yields: % 4.08/1.69 | (40) domain(all_15_1_8) = all_15_0_7 % 4.08/1.69 | (41) domain(all_0_2_2) = all_15_0_7 % 4.08/1.69 | (42) multiplication(one, all_0_3_3) = all_15_1_8 % 4.08/1.69 | % 4.08/1.69 | Instantiating formula (29) with all_0_2_2, all_15_0_7, all_0_0_0 and discharging atoms domain(all_0_2_2) = all_15_0_7, domain(all_0_2_2) = all_0_0_0, yields: % 4.08/1.69 | (43) all_15_0_7 = all_0_0_0 % 4.08/1.69 | % 4.08/1.69 | Instantiating formula (25) with all_15_1_8, all_0_3_3 and discharging atoms multiplication(one, all_0_3_3) = all_15_1_8, yields: % 4.08/1.69 | (44) all_15_1_8 = all_0_3_3 % 4.08/1.69 | % 4.08/1.69 | From (44)(43) and (40) follows: % 4.08/1.69 | (45) domain(all_0_3_3) = all_0_0_0 % 4.08/1.69 | % 4.08/1.69 | Instantiating formula (29) with all_0_3_3, all_0_0_0, all_0_2_2 and discharging atoms domain(all_0_3_3) = all_0_0_0, domain(all_0_3_3) = all_0_2_2, yields: % 4.08/1.69 | (46) all_0_0_0 = all_0_2_2 % 4.08/1.69 | % 4.08/1.69 | Equations (46) can reduce 21 to: % 4.08/1.69 | (47) $false % 4.08/1.69 | % 4.08/1.70 |-The branch is then unsatisfiable % 4.08/1.70 % SZS output end Proof for theBenchmark % 4.08/1.70 % 4.08/1.70 1053ms %------------------------------------------------------------------------------