TSTP Solution File: RNG039-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : Mon Jul 18 20:41:18 EDT 2022
% Result : Unsatisfiable 140.97s 141.18s
% Output : Refutation 140.97s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 17:05:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 140.97/141.18
% 140.97/141.18 SPASS V 3.9
% 140.97/141.18 SPASS beiseite: Proof found.
% 140.97/141.18 % SZS status Theorem
% 140.97/141.18 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 140.97/141.18 SPASS derived 57832 clauses, backtracked 0 clauses, performed 0 splits and kept 40334 clauses.
% 140.97/141.18 SPASS allocated 99561 KBytes.
% 140.97/141.18 SPASS spent 0:2:19.80 on the problem.
% 140.97/141.18 0:00:00.04 for the input.
% 140.97/141.18 0:00:00.00 for the FLOTTER CNF translation.
% 140.97/141.18 0:00:00.56 for inferences.
% 140.97/141.18 0:00:00.00 for the backtracking.
% 140.97/141.18 0:2:18.18 for the reduction.
% 140.97/141.18
% 140.97/141.18
% 140.97/141.18 Here is a proof with depth 9, length 60 :
% 140.97/141.18 % SZS output start Refutation
% 140.97/141.18 9[0:Inp] || equalish(u,v)*+ product(w,u,x)* -> product(w,v,x)*.
% 140.97/141.18 10[0:Inp] || equalish(u,v)*+ product(w,x,u)* -> product(w,x,v)*.
% 140.97/141.18 15[0:Inp] || -> product(u,v,multiply(u,v))*.
% 140.97/141.18 20[0:Inp] || product(u,v,w)*+ product(x,v,y)* product(z,x,u)* -> product(z,y,w)*.
% 140.97/141.18 21[0:Inp] || product(u,v,w)*+ product(x,y,v)* product(u,x,z)* -> product(z,y,w)*.
% 140.97/141.18 26[0:Inp] || -> product(additive_identity,u,additive_identity)*.
% 140.97/141.18 29[0:Inp] || product(u,v,w)*+ product(u,v,x)* -> equalish(x,w)*.
% 140.97/141.18 37[0:Inp] || -> equalish(multiply(u,u),u)*l.
% 140.97/141.18 39[0:Inp] || -> equalish(multiply(b,a),d)*l.
% 140.97/141.18 41[0:Inp] || -> product(a,c,c)*.
% 140.97/141.18 42[0:Inp] || -> product(b,d,d)*.
% 140.97/141.18 46[0:Inp] || -> product(a,multiply(b,u),multiply(v,u))*.
% 140.97/141.18 60[0:Inp] || -> product(b,a,multiply(b,d))*.
% 140.97/141.18 71[0:Inp] || -> product(u,u,u)*.
% 140.97/141.18 72[0:Inp] || -> product(a,b,c)*.
% 140.97/141.18 73[0:Inp] || -> product(b,a,d)*.
% 140.97/141.18 74[0:Inp] || equalish(c,d)*l -> .
% 140.97/141.18 80[0:Res:73.0,21.0] || product(b,u,v)*+ product(a,w,u)* -> product(d,w,v)*.
% 140.97/141.18 89[0:Res:73.0,20.2] || product(u,v,b)*+ product(v,a,w)* -> product(u,w,d)*.
% 140.97/141.18 91[0:Res:73.0,20.1] || product(u,a,v)*+ product(w,b,u)* -> product(w,d,v)*.
% 140.97/141.18 92[0:Res:73.0,21.1] || product(u,d,v)*+ product(u,b,w)* -> product(w,a,v)*.
% 140.97/141.18 102[0:Res:72.0,29.0] || product(a,b,u)* -> equalish(c,u).
% 140.97/141.18 105[0:Res:72.0,21.2] || product(u,v,b)*+ product(a,u,w)* -> product(w,v,c)*.
% 140.97/141.18 112[0:Res:72.0,20.1] || product(u,b,v)*+ product(w,a,u)* -> product(w,c,v)*.
% 140.97/141.18 120[0:Res:29.2,74.0] || product(u,v,d) product(u,v,c)* -> .
% 140.97/141.18 126[0:Res:72.0,92.0] || product(a,d,u)* -> product(c,a,u).
% 140.97/141.18 219[0:Res:37.0,10.0] || product(u,v,multiply(w,w))* -> product(u,v,w).
% 140.97/141.18 230[0:Res:37.0,9.0] || product(u,multiply(v,v),w)* -> product(u,v,w).
% 140.97/141.18 231[0:Res:39.0,9.0] || product(u,multiply(b,a),v)* -> product(u,d,v).
% 140.97/141.18 451[0:Res:26.0,21.0] || product(u,v,w)*+ product(additive_identity,u,x)* -> product(x,v,additive_identity)*.
% 140.97/141.18 464[0:Res:46.0,21.0] || product(u,v,multiply(b,w))*+ product(a,u,x)* -> product(x,v,multiply(y,w))*.
% 140.97/141.18 482[0:Res:42.0,20.0] || product(u,d,v)*+ product(w,u,b)* -> product(w,v,d)*.
% 140.97/141.18 487[0:Res:41.0,20.0] || product(u,c,v)*+ product(w,u,a)* -> product(w,v,c)*.
% 140.97/141.18 1150[0:Res:46.0,231.0] || -> product(a,d,multiply(u,a))*.
% 140.97/141.18 1190[0:Res:1150.0,126.0] || -> product(c,a,multiply(u,a))*.
% 140.97/141.18 2135[0:Res:46.0,219.0] || -> product(a,multiply(b,u),u)*.
% 140.97/141.18 2141[0:Res:1190.0,219.0] || -> product(c,a,a)*.
% 140.97/141.18 2191[0:Res:2135.0,230.0] || -> product(a,b,b)*.
% 140.97/141.18 2599[0:Res:2191.0,102.0] || -> equalish(c,b)*r.
% 140.97/141.18 2602[0:Res:2599.0,10.0] || product(u,v,c) -> product(u,v,b)*.
% 140.97/141.18 3617[0:Res:2191.0,112.0] || product(u,a,a)* -> product(u,c,b).
% 140.97/141.18 3693[0:Res:2141.0,91.0] || product(u,b,c)* -> product(u,d,a).
% 140.97/141.18 3740[0:Res:71.0,105.0] || product(a,b,u)*+ -> product(u,b,c)*.
% 140.97/141.18 4203[0:Res:26.0,482.0] || product(u,additive_identity,b)* -> product(u,additive_identity,d).
% 140.97/141.18 4490[0:Res:15.0,451.0] || product(additive_identity,u,v)*+ -> product(v,w,additive_identity)*.
% 140.97/141.18 6100[0:Res:71.0,3617.0] || -> product(a,c,b)*.
% 140.97/141.18 6121[0:Res:6100.0,89.0] || product(c,a,u) -> product(a,u,d)*.
% 140.97/141.18 8751[0:Res:2191.0,3740.0] || -> product(b,b,c)*.
% 140.97/141.18 8825[0:Res:8751.0,3693.0] || -> product(b,d,a)*.
% 140.97/141.18 8828[0:Res:8825.0,80.0] || product(a,u,d)* -> product(d,u,a).
% 140.97/141.18 13903[0:Res:60.0,464.0] || product(a,b,u) -> product(u,a,multiply(v,d))*.
% 140.97/141.18 27475[0:Res:6121.1,8828.0] || product(c,a,u)* -> product(d,u,a).
% 140.97/141.18 38256[0:Res:15.0,4490.0] || -> product(multiply(additive_identity,u),v,additive_identity)*.
% 140.97/141.18 38308[0:Res:38256.0,487.0] || product(u,multiply(additive_identity,v),a)* -> product(u,additive_identity,c).
% 140.97/141.18 54735[0:Res:13903.1,27475.0] || product(a,b,c) -> product(d,multiply(u,d),a)*.
% 140.97/141.18 54825[0:MRR:54735.0,72.0] || -> product(d,multiply(u,d),a)*.
% 140.97/141.18 58155[0:Res:2602.1,4203.0] || product(u,additive_identity,c)* -> product(u,additive_identity,d).
% 140.97/141.18 58194[0:MRR:58155.1,120.0] || product(u,additive_identity,c)* -> .
% 140.97/141.18 58196[0:MRR:38308.1,58194.0] || product(u,multiply(additive_identity,v),a)* -> .
% 140.97/141.18 58208[0:UnC:58196.0,54825.0] || -> .
% 140.97/141.18 % SZS output end Refutation
% 140.97/141.18 Formulae used in the proof : product_substitution2 product_substitution3 closure_of_multiplication associativity_of_multiplication1 associativity_of_multiplication2 multiplicative_identity1 multiplication_is_well_defined clause35 clause37 clause39 clause40 clause44 clause58 clause71 a_times_b b_times_a prove_c_equals_d
% 140.97/141.18
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